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Finding the Third Proportional to 23,300,847 and 34,951,275

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Solution

The third proportional to 23,300,847 and 34,951,275 is: 52,426,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300,847 : 34,951,275 = 34,951,275 : x
  2. Step 2: Convert to fraction form
    23,300,847/34,951,275 = 34,951,275/x
  3. Step 3: Cross multiply
    23,300,847x = 34,951,275 × 34,951,275
  4. Step 4: Simplify right side
    23,300,847x = 1,221,591,624,125,625
  5. Step 5: Solve for x
    x = 1,221,591,624,125,625/23,300,847
  6. Step 6: Final answer
    x = 52,426,919.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.