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Finding the Third Proportional to 6,947,882 and 15,309,288

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Solution

The third proportional to 6,947,882 and 15,309,288 is: 33,733,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,882 : 15,309,288 = 15,309,288 : x
  2. Step 2: Convert to fraction form
    6,947,882/15,309,288 = 15,309,288/x
  3. Step 3: Cross multiply
    6,947,882x = 15,309,288 × 15,309,288
  4. Step 4: Simplify right side
    6,947,882x = 234,374,299,066,944
  5. Step 5: Solve for x
    x = 234,374,299,066,944/6,947,882
  6. Step 6: Final answer
    x = 33,733,200.86

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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.