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Finding the Third Proportional to 48,452,222.25 and 74,474,403.75

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Solution

The third proportional to 48,452,222.25 and 74,474,403.75 is: 114,472,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452,222.25 : 74,474,403.75 = 74,474,403.75 : x
  2. Step 2: Convert to fraction form
    48,452,222.25/74,474,403.75 = 74,474,403.75/x
  3. Step 3: Cross multiply
    48,452,222.25x = 74,474,403.75 × 74,474,403.75
  4. Step 4: Simplify right side
    48,452,222.25x = 5,546,436,813,918,014
  5. Step 5: Solve for x
    x = 5,546,436,813,918,014/48,452,222.25
  6. Step 6: Final answer
    x = 114,472,289.53

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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.