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Finding the Third Proportional to 29,564,307 and 63,214,374

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Solution

The third proportional to 29,564,307 and 63,214,374 is: 135,164,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564,307 : 63,214,374 = 63,214,374 : x
  2. Step 2: Convert to fraction form
    29,564,307/63,214,374 = 63,214,374/x
  3. Step 3: Cross multiply
    29,564,307x = 63,214,374 × 63,214,374
  4. Step 4: Simplify right side
    29,564,307x = 3,996,057,080,211,876
  5. Step 5: Solve for x
    x = 3,996,057,080,211,876/29,564,307
  6. Step 6: Final answer
    x = 135,164,916.27

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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.