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Finding the Third Proportional to 6,024,129 and 9,177,375

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Solution

The third proportional to 6,024,129 and 9,177,375 is: 13,981,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,129 : 9,177,375 = 9,177,375 : x
  2. Step 2: Convert to fraction form
    6,024,129/9,177,375 = 9,177,375/x
  3. Step 3: Cross multiply
    6,024,129x = 9,177,375 × 9,177,375
  4. Step 4: Simplify right side
    6,024,129x = 84,224,211,890,625
  5. Step 5: Solve for x
    x = 84,224,211,890,625/6,024,129
  6. Step 6: Final answer
    x = 13,981,143.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.