A. Assume that the population grew exponentially during this period, compute the growth constant k.

My set up:

62, 947, 714 = 23, 191, 876e^(50k)

I found k to be about 0.0200.

B. Assuming continued growth at the same rate, predict the 1950 population.

My set up leads to the wrong answer.

62, 947, 714 = 23, 191, 876e^(0.0200)(100)

Why is my set up wrong for B?