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Finding the Third Proportional to 3,890,733.75 and 6,215,545.13

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Solution

The third proportional to 3,890,733.75 and 6,215,545.13 is: 9,929,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890,733.75 : 6,215,545.13 = 6,215,545.13 : x
  2. Step 2: Convert to fraction form
    3,890,733.75/6,215,545.13 = 6,215,545.13/x
  3. Step 3: Cross multiply
    3,890,733.75x = 6,215,545.13 × 6,215,545.13
  4. Step 4: Simplify right side
    3,890,733.75x = 38,633,001,200,911.27
  5. Step 5: Solve for x
    x = 38,633,001,200,911.27/3,890,733.75
  6. Step 6: Final answer
    x = 9,929,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.