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Finding the Third Proportional to 3,172,452 and 6,706,569

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Solution

The third proportional to 3,172,452 and 6,706,569 is: 14,177,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,452 : 6,706,569 = 6,706,569 : x
  2. Step 2: Convert to fraction form
    3,172,452/6,706,569 = 6,706,569/x
  3. Step 3: Cross multiply
    3,172,452x = 6,706,569 × 6,706,569
  4. Step 4: Simplify right side
    3,172,452x = 44,978,067,751,761
  5. Step 5: Solve for x
    x = 44,978,067,751,761/3,172,452
  6. Step 6: Final answer
    x = 14,177,698.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.