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Finding the Third Proportional to 247,666,515 and 538,914,897

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Solution

The third proportional to 247,666,515 and 538,914,897 is: 1,172,662,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,666,515 : 538,914,897 = 538,914,897 : x
  2. Step 2: Convert to fraction form
    247,666,515/538,914,897 = 538,914,897/x
  3. Step 3: Cross multiply
    247,666,515x = 538,914,897 × 538,914,897
  4. Step 4: Simplify right side
    247,666,515x = 290,429,266,208,520,640
  5. Step 5: Solve for x
    x = 290,429,266,208,520,640/247,666,515
  6. Step 6: Final answer
    x = 1,172,662,627.44

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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.