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Finding the Third Proportional to 5,906,206.13 and 9,644,214.38

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Solution

The third proportional to 5,906,206.13 and 9,644,214.38 is: 15,747,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906,206.13 : 9,644,214.38 = 9,644,214.38 : x
  2. Step 2: Convert to fraction form
    5,906,206.13/9,644,214.38 = 9,644,214.38/x
  3. Step 3: Cross multiply
    5,906,206.13x = 9,644,214.38 × 9,644,214.38
  4. Step 4: Simplify right side
    5,906,206.13x = 93,010,870,910,956.64
  5. Step 5: Solve for x
    x = 93,010,870,910,956.64/5,906,206.13
  6. Step 6: Final answer
    x = 15,747,989.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.