Alaska is about 105,811 times bigger than Cocos (Keeling) Islands.

Cocos (Keeling) Islands is approximately 14 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 10,580,957% larger than Cocos (Keeling) Islands. Meanwhile, the population of Cocos (Keeling) Islands is ~596 people (709,635 more people live in Alaska).
Tip: This to-scale comparison of Cocos (Keeling) Islands vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.