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Finding the Third Proportional to 3,666,444.75 and 5,387,294.81

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Solution

The third proportional to 3,666,444.75 and 5,387,294.81 is: 7,915,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666,444.75 : 5,387,294.81 = 5,387,294.81 : x
  2. Step 2: Convert to fraction form
    3,666,444.75/5,387,294.81 = 5,387,294.81/x
  3. Step 3: Cross multiply
    3,666,444.75x = 5,387,294.81 × 5,387,294.81
  4. Step 4: Simplify right side
    3,666,444.75x = 29,022,945,396,789.41
  5. Step 5: Solve for x
    x = 29,022,945,396,789.41/3,666,444.75
  6. Step 6: Final answer
    x = 7,915,827.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.