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Finding the Third Proportional to 5,904,173.25 and 9,640,983.38

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Solution

The third proportional to 5,904,173.25 and 9,640,983.38 is: 15,742,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904,173.25 : 9,640,983.38 = 9,640,983.38 : x
  2. Step 2: Convert to fraction form
    5,904,173.25/9,640,983.38 = 9,640,983.38/x
  3. Step 3: Cross multiply
    5,904,173.25x = 9,640,983.38 × 9,640,983.38
  4. Step 4: Simplify right side
    5,904,173.25x = 92,948,560,437,026.39
  5. Step 5: Solve for x
    x = 92,948,560,437,026.39/5,904,173.25
  6. Step 6: Final answer
    x = 15,742,857.89

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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.