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Finding the Third Proportional to 38,353,704 and 82,399,296

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Solution

The third proportional to 38,353,704 and 82,399,296 is: 177,027,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353,704 : 82,399,296 = 82,399,296 : x
  2. Step 2: Convert to fraction form
    38,353,704/82,399,296 = 82,399,296/x
  3. Step 3: Cross multiply
    38,353,704x = 82,399,296 × 82,399,296
  4. Step 4: Simplify right side
    38,353,704x = 6,789,643,981,295,616
  5. Step 5: Solve for x
    x = 6,789,643,981,295,616/38,353,704
  6. Step 6: Final answer
    x = 177,027,073.61

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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.