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Finding the Third Proportional to 3,175,749 and 6,761,155.25

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Solution

The third proportional to 3,175,749 and 6,761,155.25 is: 14,394,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,749 : 6,761,155.25 = 6,761,155.25 : x
  2. Step 2: Convert to fraction form
    3,175,749/6,761,155.25 = 6,761,155.25/x
  3. Step 3: Cross multiply
    3,175,749x = 6,761,155.25 × 6,761,155.25
  4. Step 4: Simplify right side
    3,175,749x = 45,713,220,314,602.56
  5. Step 5: Solve for x
    x = 45,713,220,314,602.56/3,175,749
  6. Step 6: Final answer
    x = 14,394,468.93

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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.