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Finding the Third Proportional to 4,027,545.75 and 6,099,814.13

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Solution

The third proportional to 4,027,545.75 and 6,099,814.13 is: 9,238,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,545.75 : 6,099,814.13 = 6,099,814.13 : x
  2. Step 2: Convert to fraction form
    4,027,545.75/6,099,814.13 = 6,099,814.13/x
  3. Step 3: Cross multiply
    4,027,545.75x = 6,099,814.13 × 6,099,814.13
  4. Step 4: Simplify right side
    4,027,545.75x = 37,207,732,359,549.52
  5. Step 5: Solve for x
    x = 37,207,732,359,549.52/4,027,545.75
  6. Step 6: Final answer
    x = 9,238,314.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.