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Finding the Third Proportional to 29,717,565.75 and 64,710,876.38

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Solution

The third proportional to 29,717,565.75 and 64,710,876.38 is: 140,909,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,717,565.75 : 64,710,876.38 = 64,710,876.38 : x
  2. Step 2: Convert to fraction form
    29,717,565.75/64,710,876.38 = 64,710,876.38/x
  3. Step 3: Cross multiply
    29,717,565.75x = 64,710,876.38 × 64,710,876.38
  4. Step 4: Simplify right side
    29,717,565.75x = 4,187,497,521,220,533
  5. Step 5: Solve for x
    x = 4,187,497,521,220,533/29,717,565.75
  6. Step 6: Final answer
    x = 140,909,842.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.