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Finding the Third Proportional to 3,745,616.50 and 5,608,171.50

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Solution

The third proportional to 3,745,616.50 and 5,608,171.50 is: 8,396,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745,616.50 : 5,608,171.50 = 5,608,171.50 : x
  2. Step 2: Convert to fraction form
    3,745,616.50/5,608,171.50 = 5,608,171.50/x
  3. Step 3: Cross multiply
    3,745,616.50x = 5,608,171.50 × 5,608,171.50
  4. Step 4: Simplify right side
    3,745,616.50x = 31,451,587,573,412.25
  5. Step 5: Solve for x
    x = 31,451,587,573,412.25/3,745,616.50
  6. Step 6: Final answer
    x = 8,396,905.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.