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Finding the Third Proportional to 126,264,697,938 and 274,757,072,436

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Solution

The third proportional to 126,264,697,938 and 274,757,072,436 is: 597,882,465,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264,697,938 : 274,757,072,436 = 274,757,072,436 : x
  2. Step 2: Convert to fraction form
    126,264,697,938/274,757,072,436 = 274,757,072,436/x
  3. Step 3: Cross multiply
    126,264,697,938x = 274,757,072,436 × 274,757,072,436
  4. Step 4: Simplify right side
    126,264,697,938x = 75,491,448,853,601,353,465,856
  5. Step 5: Solve for x
    x = 75,491,448,853,601,353,465,856/126,264,697,938
  6. Step 6: Final answer
    x = 597,882,465,062.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.