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Finding the Third Proportional to 6,948,561 and 10,024,227

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Solution

The third proportional to 6,948,561 and 10,024,227 is: 14,461,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,561 : 10,024,227 = 10,024,227 : x
  2. Step 2: Convert to fraction form
    6,948,561/10,024,227 = 10,024,227/x
  3. Step 3: Cross multiply
    6,948,561x = 10,024,227 × 10,024,227
  4. Step 4: Simplify right side
    6,948,561x = 100,485,126,947,529
  5. Step 5: Solve for x
    x = 100,485,126,947,529/6,948,561
  6. Step 6: Final answer
    x = 14,461,285.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.