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Finding the Third Proportional to 6,419,536 and 9,972,098

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Solution

The third proportional to 6,419,536 and 9,972,098 is: 15,490,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,536 : 9,972,098 = 9,972,098 : x
  2. Step 2: Convert to fraction form
    6,419,536/9,972,098 = 9,972,098/x
  3. Step 3: Cross multiply
    6,419,536x = 9,972,098 × 9,972,098
  4. Step 4: Simplify right side
    6,419,536x = 99,442,738,521,604
  5. Step 5: Solve for x
    x = 99,442,738,521,604/6,419,536
  6. Step 6: Final answer
    x = 15,490,642.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.