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Finding the Third Proportional to 6,914,536 and 10,147,561

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Solution

The third proportional to 6,914,536 and 10,147,561 is: 14,892,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,536 : 10,147,561 = 10,147,561 : x
  2. Step 2: Convert to fraction form
    6,914,536/10,147,561 = 10,147,561/x
  3. Step 3: Cross multiply
    6,914,536x = 10,147,561 × 10,147,561
  4. Step 4: Simplify right side
    6,914,536x = 102,972,994,248,721
  5. Step 5: Solve for x
    x = 102,972,994,248,721/6,914,536
  6. Step 6: Final answer
    x = 14,892,249.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.