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Finding the Third Proportional to 29,924,337 and 64,464,930

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Solution

The third proportional to 29,924,337 and 64,464,930 is: 138,874,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924,337 : 64,464,930 = 64,464,930 : x
  2. Step 2: Convert to fraction form
    29,924,337/64,464,930 = 64,464,930/x
  3. Step 3: Cross multiply
    29,924,337x = 64,464,930 × 64,464,930
  4. Step 4: Simplify right side
    29,924,337x = 4,155,727,199,904,900
  5. Step 5: Solve for x
    x = 4,155,727,199,904,900/29,924,337
  6. Step 6: Final answer
    x = 138,874,495.36

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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.