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Finding the Third Proportional to 63,665,919 and 136,407,861

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Solution

The third proportional to 63,665,919 and 136,407,861 is: 292,261,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665,919 : 136,407,861 = 136,407,861 : x
  2. Step 2: Convert to fraction form
    63,665,919/136,407,861 = 136,407,861/x
  3. Step 3: Cross multiply
    63,665,919x = 136,407,861 × 136,407,861
  4. Step 4: Simplify right side
    63,665,919x = 18,607,104,542,595,320
  5. Step 5: Solve for x
    x = 18,607,104,542,595,320/63,665,919
  6. Step 6: Final answer
    x = 292,261,618.69

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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.