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Finding the Third Proportional to 3,616,562.25 and 5,471,337.38

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Solution

The third proportional to 3,616,562.25 and 5,471,337.38 is: 8,277,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616,562.25 : 5,471,337.38 = 5,471,337.38 : x
  2. Step 2: Convert to fraction form
    3,616,562.25/5,471,337.38 = 5,471,337.38/x
  3. Step 3: Cross multiply
    3,616,562.25x = 5,471,337.38 × 5,471,337.38
  4. Step 4: Simplify right side
    3,616,562.25x = 29,935,532,671,071.89
  5. Step 5: Solve for x
    x = 29,935,532,671,071.89/3,616,562.25
  6. Step 6: Final answer
    x = 8,277,344.78

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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.