I was fiddling with numbers when I noticed that $$50 \times 1.05^{168} \times \frac{12600}{727767941} \approx \pi$$ I understand it's an approximation. Does anyone know why?
2026-03-30 03:52:27.1774842747
Why does this expression equal pi?
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By my calculator this expression only agrees with $\pi$ to about 13 decimal digits. Since there are 22 separate digits in the expression, we should expect that very many different expressions of that shape approximate $\pi$ with a similar precision -- there's nothing particular remarkable about one of them, nor any "explanation" other than it just happens to be close to $\pi$.