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Total number of human beings to have ever lived = 107 billion.

Total number of just insects currently living = 10 quintillion i.e. 10 billion billion .

Number of plants and other animals will also be high.

Number of micro-organisms will be higher.

So, by probability most organism will never be able to attain human birth. As in few billion years life will not exist on earth. And most probably human beings will become extinct in few years.

Will it not be injustice to organisms who were never able to take human birth ?

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    Yes. As per Hinduism, there's nothing called as the final End. It's an eternal unending cycle. Was, Is, and Will be. So every Jiva will most probably get a chance to be a Human or other specie as per the governing Karma Theory.
    – Vivikta
    Commented Mar 21, 2022 at 2:51
  • You are asking for opinions. It is not injustice as there have been an infinite number of kalpas before and there will be an infinite number of kalpas in the future. 'Organisms' are material bodies. All the jivas that pass through all these different physical bodies will sooner or later attain human birth. Commented Mar 21, 2022 at 10:43
  • Simple.. this statement : "Total number of human beings to have ever lived = 107 billion." - is wrong. It is infinite
    – ram
    Commented Mar 21, 2022 at 13:26
  • Will it not be injustice to organisms who were never able to take human birth ? --- How do you know that they were never able to take human birth? What if they all lived as humans once upon a time? Commented Apr 3, 2022 at 9:50

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Phenomena of Karmaa and Janmaa bear cause and effect relationship, aquire the problem in the analogy of tree and seed,that does not answer the question what came first. ref. cited in HH Shankaras sarva vedanta sidhanta Sara sangraha verse 511

karrmana jayate jantuhu karmanaiva praliyate karmanaha karyamevaisha janma mrutyu parampara

By all knowledge in scriptures, By sacrifices, By elaborate rituals etc -yet, without the realization of Self, there shall be no liberation for the Jiva, from this cycle of karma janma of not even in the life times of a hundred Brahmas put together. cited in Vivekachudamani Verse 6

vadantu śāstrāṇi yajantu devān kurvantu karmāṇi bhajantu devatāḥ ātmaikyabodhena vināpi muktiḥ na sidhyati brahmaśatāntare'pi ||

Demographic data may not be relevant here since there are infinite number of jivas which includes a blade of grass as well as Brahma the creator.so any math op with infinity results in infinity .

Story of Jada Bharatha in Narada Purana reflects this idea

https://www.kamakoti.org/kamakoti/details/naradapurana8.html

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