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Finding the Third Proportional to 3,175,755 and 6,761,169

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Solution

The third proportional to 3,175,755 and 6,761,169 is: 14,394,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,755 : 6,761,169 = 6,761,169 : x
  2. Step 2: Convert to fraction form
    3,175,755/6,761,169 = 6,761,169/x
  3. Step 3: Cross multiply
    3,175,755x = 6,761,169 × 6,761,169
  4. Step 4: Simplify right side
    3,175,755x = 45,713,406,246,561
  5. Step 5: Solve for x
    x = 45,713,406,246,561/3,175,755
  6. Step 6: Final answer
    x = 14,394,500.28

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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.