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Finding the Third Proportional to 6,024,234 and 9,177,561

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Solution

The third proportional to 6,024,234 and 9,177,561 is: 13,981,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,234 : 9,177,561 = 9,177,561 : x
  2. Step 2: Convert to fraction form
    6,024,234/9,177,561 = 9,177,561/x
  3. Step 3: Cross multiply
    6,024,234x = 9,177,561 × 9,177,561
  4. Step 4: Simplify right side
    6,024,234x = 84,227,625,908,721
  5. Step 5: Solve for x
    x = 84,227,625,908,721/6,024,234
  6. Step 6: Final answer
    x = 13,981,466.51

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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.