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Finding the Third Proportional to 3,847,444 and 8,209,576

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Solution

The third proportional to 3,847,444 and 8,209,576 is: 17,517,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,444 : 8,209,576 = 8,209,576 : x
  2. Step 2: Convert to fraction form
    3,847,444/8,209,576 = 8,209,576/x
  3. Step 3: Cross multiply
    3,847,444x = 8,209,576 × 8,209,576
  4. Step 4: Simplify right side
    3,847,444x = 67,397,138,099,776
  5. Step 5: Solve for x
    x = 67,397,138,099,776/3,847,444
  6. Step 6: Final answer
    x = 17,517,379.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.