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Finding the Third Proportional to 48,452,249 and 74,474,445

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Solution

The third proportional to 48,452,249 and 74,474,445 is: 114,472,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452,249 : 74,474,445 = 74,474,445 : x
  2. Step 2: Convert to fraction form
    48,452,249/74,474,445 = 74,474,445/x
  3. Step 3: Cross multiply
    48,452,249x = 74,474,445 × 74,474,445
  4. Step 4: Simplify right side
    48,452,249x = 5,546,442,958,058,025
  5. Step 5: Solve for x
    x = 5,546,442,958,058,025/48,452,249
  6. Step 6: Final answer
    x = 114,472,353.14

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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.