South Dakota is about 39 times smaller than Australia.

Australia is approximately 7,741,220 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 2.54% the size of Australia. Meanwhile, the population of Australia is ~26.1 million people (25.3 million fewer people live in South Dakota).
This to-scale comparison of Australia vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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