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Cash and cash equivalents, margin cash and long-term investments (Details) - USD ($)
$ in Thousands
Jun. 30, 2026
Dec. 31, 2025
Jun. 30, 2025
Dec. 31, 2024
Cash and cash equivalents [abstract]        
Cash on hand and at banks $ 1,259,842 $ 2,557,740    
CDB (bank certificates of deposit) / Overnight investments 2,146,796 1,937,761    
National Treasury Bill (Tesouro Selic) 62,482 69,635    
Total cash and cash equivalents 3,469,120 4,565,136 $ 2,518,751 $ 5,613,672
Margin cash        
CME (Chicago Mercantile Exchange) Margin investments 75,297 105,993    
Investments in Treasury Bills 93,004 53,569    
Current Margin Cash 168,301 159,562    
Investment funds 50,949 45,780    
Total $ 3,688,370 $ 4,770,478