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Finding the Third Proportional to 63,032,352 and 135,480,864

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Solution

The third proportional to 63,032,352 and 135,480,864 is: 291,200,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,032,352 : 135,480,864 = 135,480,864 : x
  2. Step 2: Convert to fraction form
    63,032,352/135,480,864 = 135,480,864/x
  3. Step 3: Cross multiply
    63,032,352x = 135,480,864 × 135,480,864
  4. Step 4: Simplify right side
    63,032,352x = 18,355,064,510,186,496
  5. Step 5: Solve for x
    x = 18,355,064,510,186,496/63,032,352
  6. Step 6: Final answer
    x = 291,200,691.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.