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Finding the Third Proportional to 48,451,942 and 74,474,100

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Solution

The third proportional to 48,451,942 and 74,474,100 is: 114,472,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,942 : 74,474,100 = 74,474,100 : x
  2. Step 2: Convert to fraction form
    48,451,942/74,474,100 = 74,474,100/x
  3. Step 3: Cross multiply
    48,451,942x = 74,474,100 × 74,474,100
  4. Step 4: Simplify right side
    48,451,942x = 5,546,391,570,810,000
  5. Step 5: Solve for x
    x = 5,546,391,570,810,000/48,451,942
  6. Step 6: Final answer
    x = 114,472,017.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.