South Georgia and South Sandwich Islands is about 37 times smaller than Illinois.

Illinois is approximately 143,961 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 2.71% the size of Illinois.
Tip: This to-scale comparison of Illinois vs. South Georgia and South Sandwich Islands uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: South Georgia and South Sandwich Islands vs. Illinois