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Finding the Third Proportional to 29,924,625 and 64,465,522

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Solution

The third proportional to 29,924,625 and 64,465,522 is: 138,875,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924,625 : 64,465,522 = 64,465,522 : x
  2. Step 2: Convert to fraction form
    29,924,625/64,465,522 = 64,465,522/x
  3. Step 3: Cross multiply
    29,924,625x = 64,465,522 × 64,465,522
  4. Step 4: Simplify right side
    29,924,625x = 4,155,803,526,732,484
  5. Step 5: Solve for x
    x = 4,155,803,526,732,484/29,924,625
  6. Step 6: Final answer
    x = 138,875,709.44

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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.