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Finding the Third Proportional to 3,175,717 and 6,876,314

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Solution

The third proportional to 3,175,717 and 6,876,314 is: 14,889,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,717 : 6,876,314 = 6,876,314 : x
  2. Step 2: Convert to fraction form
    3,175,717/6,876,314 = 6,876,314/x
  3. Step 3: Cross multiply
    3,175,717x = 6,876,314 × 6,876,314
  4. Step 4: Simplify right side
    3,175,717x = 47,283,694,226,596
  5. Step 5: Solve for x
    x = 47,283,694,226,596/3,175,717
  6. Step 6: Final answer
    x = 14,889,139.75

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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.