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Finding the Third Proportional to 6,191,228 and 8,407,542

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Solution

The third proportional to 6,191,228 and 8,407,542 is: 11,417,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191,228 : 8,407,542 = 8,407,542 : x
  2. Step 2: Convert to fraction form
    6,191,228/8,407,542 = 8,407,542/x
  3. Step 3: Cross multiply
    6,191,228x = 8,407,542 × 8,407,542
  4. Step 4: Simplify right side
    6,191,228x = 70,686,762,481,764
  5. Step 5: Solve for x
    x = 70,686,762,481,764/6,191,228
  6. Step 6: Final answer
    x = 11,417,244.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.