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Finding the Third Proportional to 48,451,929 and 74,474,085

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Solution

The third proportional to 48,451,929 and 74,474,085 is: 114,472,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,929 : 74,474,085 = 74,474,085 : x
  2. Step 2: Convert to fraction form
    48,451,929/74,474,085 = 74,474,085/x
  3. Step 3: Cross multiply
    48,451,929x = 74,474,085 × 74,474,085
  4. Step 4: Simplify right side
    48,451,929x = 5,546,389,336,587,225
  5. Step 5: Solve for x
    x = 5,546,389,336,587,225/48,451,929
  6. Step 6: Final answer
    x = 114,472,002.48

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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.