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Finding the Third Proportional to 63,624,292 and 137,292,352

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Solution

The third proportional to 63,624,292 and 137,292,352 is: 296,257,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,624,292 : 137,292,352 = 137,292,352 : x
  2. Step 2: Convert to fraction form
    63,624,292/137,292,352 = 137,292,352/x
  3. Step 3: Cross multiply
    63,624,292x = 137,292,352 × 137,292,352
  4. Step 4: Simplify right side
    63,624,292x = 18,849,189,917,691,904
  5. Step 5: Solve for x
    x = 18,849,189,917,691,904/63,624,292
  6. Step 6: Final answer
    x = 296,257,755.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.