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Finding the Third Proportional to 6,947,873 and 15,309,266

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Solution

The third proportional to 6,947,873 and 15,309,266 is: 33,733,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,873 : 15,309,266 = 15,309,266 : x
  2. Step 2: Convert to fraction form
    6,947,873/15,309,266 = 15,309,266/x
  3. Step 3: Cross multiply
    6,947,873x = 15,309,266 × 15,309,266
  4. Step 4: Simplify right side
    6,947,873x = 234,373,625,458,756
  5. Step 5: Solve for x
    x = 234,373,625,458,756/6,947,873
  6. Step 6: Final answer
    x = 33,733,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.