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Finding the Third Proportional to 5,902,708 and 9,025,350

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Solution

The third proportional to 5,902,708 and 9,025,350 is: 13,799,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902,708 : 9,025,350 = 9,025,350 : x
  2. Step 2: Convert to fraction form
    5,902,708/9,025,350 = 9,025,350/x
  3. Step 3: Cross multiply
    5,902,708x = 9,025,350 × 9,025,350
  4. Step 4: Simplify right side
    5,902,708x = 81,456,942,622,500
  5. Step 5: Solve for x
    x = 81,456,942,622,500/5,902,708
  6. Step 6: Final answer
    x = 13,799,927.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.