India is about 17 times bigger than South Dakota.

South Dakota is approximately 196,540 sq km, while India is approximately 3,287,263 sq km, making India 1,573% larger than South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (1.4 billion more people live in India).
Tip: This to-scale comparison of South Dakota vs. India uses the Mercator projection, which distorts the size of regions near the poles.