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Finding the Third Proportional to 6,760,917 and 15,943,847

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Solution

The third proportional to 6,760,917 and 15,943,847 is: 37,599,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760,917 : 15,943,847 = 15,943,847 : x
  2. Step 2: Convert to fraction form
    6,760,917/15,943,847 = 15,943,847/x
  3. Step 3: Cross multiply
    6,760,917x = 15,943,847 × 15,943,847
  4. Step 4: Simplify right side
    6,760,917x = 254,206,257,159,409
  5. Step 5: Solve for x
    x = 254,206,257,159,409/6,760,917
  6. Step 6: Final answer
    x = 37,599,375.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.