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No such numbers exist. PI is irrational, which by definition means that it cannot be expressed as the ratio of 2 integers. The more accurate approximations of pi are achieved by means more complicated than the simple division of 2 numbers.

As for its origin, I imagine it would have been derived by empirical observation. In ancient times, it was noticed that one could draw any circle, no matter the size, and its circumference divided by its diameter would always equal somewhere around 3.14159...

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Q: What two numbers are divided by each other to get pi?
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