Finding the Third Proportional to 324,264,317,129 and 675,367,793,491
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Solution
The third proportional to 324,264,317,129 and 675,367,793,491 is: 1,406,635,366,244.90
Step by Step Solution
- Step 1: Write the proportion equation
324,264,317,129 : 675,367,793,491 = 675,367,793,491 : x - Step 2: Convert to fraction form
324,264,317,129/675,367,793,491 = 675,367,793,491/x - Step 3: Cross multiply
324,264,317,129x = 675,367,793,491 × 675,367,793,491 - Step 4: Simplify right side
324,264,317,129x = 456,121,656,484,902,010,355,712 - Step 5: Solve for x
x = 456,121,656,484,902,010,355,712/324,264,317,129 - Step 6: Final answer
x = 1,406,635,366,244.90
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.