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Finding the Third Proportional to 48,451,918 and 74,474,070

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Solution

The third proportional to 48,451,918 and 74,474,070 is: 114,471,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,918 : 74,474,070 = 74,474,070 : x
  2. Step 2: Convert to fraction form
    48,451,918/74,474,070 = 74,474,070/x
  3. Step 3: Cross multiply
    48,451,918x = 74,474,070 × 74,474,070
  4. Step 4: Simplify right side
    48,451,918x = 5,546,387,102,364,900
  5. Step 5: Solve for x
    x = 5,546,387,102,364,900/48,451,918
  6. Step 6: Final answer
    x = 114,471,982.36

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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.