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Finding the Third Proportional to 6,024,328 and 9,177,744

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Solution

The third proportional to 6,024,328 and 9,177,744 is: 13,981,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,328 : 9,177,744 = 9,177,744 : x
  2. Step 2: Convert to fraction form
    6,024,328/9,177,744 = 9,177,744/x
  3. Step 3: Cross multiply
    6,024,328x = 9,177,744 × 9,177,744
  4. Step 4: Simplify right side
    6,024,328x = 84,230,984,929,536
  5. Step 5: Solve for x
    x = 84,230,984,929,536/6,024,328
  6. Step 6: Final answer
    x = 13,981,805.93

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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.