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Finding the Third Proportional to 3,175,759 and 6,761,177

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Solution

The third proportional to 3,175,759 and 6,761,177 is: 14,394,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,759 : 6,761,177 = 6,761,177 : x
  2. Step 2: Convert to fraction form
    3,175,759/6,761,177 = 6,761,177/x
  3. Step 3: Cross multiply
    3,175,759x = 6,761,177 × 6,761,177
  4. Step 4: Simplify right side
    3,175,759x = 45,713,514,425,329
  5. Step 5: Solve for x
    x = 45,713,514,425,329/3,175,759
  6. Step 6: Final answer
    x = 14,394,516.22

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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.