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Finding the Third Proportional to 63,665,597 and 136,407,214

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Solution

The third proportional to 63,665,597 and 136,407,214 is: 292,260,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665,597 : 136,407,214 = 136,407,214 : x
  2. Step 2: Convert to fraction form
    63,665,597/136,407,214 = 136,407,214/x
  3. Step 3: Cross multiply
    63,665,597x = 136,407,214 × 136,407,214
  4. Step 4: Simplify right side
    63,665,597x = 18,606,928,031,241,796
  5. Step 5: Solve for x
    x = 18,606,928,031,241,796/63,665,597
  6. Step 6: Final answer
    x = 292,260,324.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.