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Finding the Third Proportional to 6,270,624 and 9,381,564

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Solution

The third proportional to 6,270,624 and 9,381,564 is: 14,035,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,624 : 9,381,564 = 9,381,564 : x
  2. Step 2: Convert to fraction form
    6,270,624/9,381,564 = 9,381,564/x
  3. Step 3: Cross multiply
    6,270,624x = 9,381,564 × 9,381,564
  4. Step 4: Simplify right side
    6,270,624x = 88,013,743,086,096
  5. Step 5: Solve for x
    x = 88,013,743,086,096/6,270,624
  6. Step 6: Final answer
    x = 14,035,882.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.