Sure, here is a list of South American countries ranked by their geographical size from largest to smallest:

1. Brazil
2. Argentina
3. Peru
4. Colombia
5. Bolivia
6. Venezuela
7. Chile
8. Paraguay
9. Ecuador
10. Guyana
11. Suriname
12. Uruguay
13. French Guiana (an overseas territory of France, not an independent country)

Please note that the list includes 12 independent countries and one overseas territory (French Guiana).
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