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Finding the Third Proportional to 3,175,713 and 6,876,306

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Solution

The third proportional to 3,175,713 and 6,876,306 is: 14,889,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,713 : 6,876,306 = 6,876,306 : x
  2. Step 2: Convert to fraction form
    3,175,713/6,876,306 = 6,876,306/x
  3. Step 3: Cross multiply
    3,175,713x = 6,876,306 × 6,876,306
  4. Step 4: Simplify right side
    3,175,713x = 47,283,584,205,636
  5. Step 5: Solve for x
    x = 47,283,584,205,636/3,175,713
  6. Step 6: Final answer
    x = 14,889,123.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.