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Finding the Third Proportional to 29,933,744 and 43,780,872

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Solution

The third proportional to 29,933,744 and 43,780,872 is: 64,033,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933,744 : 43,780,872 = 43,780,872 : x
  2. Step 2: Convert to fraction form
    29,933,744/43,780,872 = 43,780,872/x
  3. Step 3: Cross multiply
    29,933,744x = 43,780,872 × 43,780,872
  4. Step 4: Simplify right side
    29,933,744x = 1,916,764,753,080,384
  5. Step 5: Solve for x
    x = 1,916,764,753,080,384/29,933,744
  6. Step 6: Final answer
    x = 64,033,578.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.