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Finding the Third Proportional to 6,947,847 and 15,309,216

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Solution

The third proportional to 6,947,847 and 15,309,216 is: 33,733,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,847 : 15,309,216 = 15,309,216 : x
  2. Step 2: Convert to fraction form
    6,947,847/15,309,216 = 15,309,216/x
  3. Step 3: Cross multiply
    6,947,847x = 15,309,216 × 15,309,216
  4. Step 4: Simplify right side
    6,947,847x = 234,372,094,534,656
  5. Step 5: Solve for x
    x = 234,372,094,534,656/6,947,847
  6. Step 6: Final answer
    x = 33,733,053.50

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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.