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Finding the Third Proportional to 48,452,233 and 74,474,416

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Solution

The third proportional to 48,452,233 and 74,474,416 is: 114,472,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452,233 : 74,474,416 = 74,474,416 : x
  2. Step 2: Convert to fraction form
    48,452,233/74,474,416 = 74,474,416/x
  3. Step 3: Cross multiply
    48,452,233x = 74,474,416 × 74,474,416
  4. Step 4: Simplify right side
    48,452,233x = 5,546,438,638,541,056
  5. Step 5: Solve for x
    x = 5,546,438,638,541,056/48,452,233
  6. Step 6: Final answer
    x = 114,472,301.79

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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.