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Finding the Third Proportional to 126,264,697,940 and 274,757,072,440

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Solution

The third proportional to 126,264,697,940 and 274,757,072,440 is: 597,882,465,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264,697,940 : 274,757,072,440 = 274,757,072,440 : x
  2. Step 2: Convert to fraction form
    126,264,697,940/274,757,072,440 = 274,757,072,440/x
  3. Step 3: Cross multiply
    126,264,697,940x = 274,757,072,440 × 274,757,072,440
  4. Step 4: Simplify right side
    126,264,697,940x = 75,491,448,855,799,403,642,880
  5. Step 5: Solve for x
    x = 75,491,448,855,799,403,642,880/126,264,697,940
  6. Step 6: Final answer
    x = 597,882,465,070.90

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Why These Related Problems?

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