Answer
in the year $2024$ (approximately)
Work Step by Step
Take India's model, substitute A=1238 and solve for t:
$A=1095.4e^{0.014t}$
$1416=1095.4e^{0.014t}\qquad.../\div 1095.4$
$\displaystyle \frac{1416}{1095.4}=e^{0.014t}\qquad...$ take ln( ) on both sides
$\displaystyle \ln\frac{1416}{1095.4}=0.014t\qquad.../\div 0.014$
$ t=\displaystyle \frac{\ln\frac{1416}{1095.4}}{0.014}\approx$18.4021233847$\approx 18$ years
($18$ years after 2006 =$2024$)
India will have the population of $1416$ million approximately
