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Finding the Third Proportional to 48,452,248.69 and 74,474,461.97

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Solution

The third proportional to 48,452,248.69 and 74,474,461.97 is: 114,472,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452,248.69 : 74,474,461.97 = 74,474,461.97 : x
  2. Step 2: Convert to fraction form
    48,452,248.69/74,474,461.97 = 74,474,461.97/x
  3. Step 3: Cross multiply
    48,452,248.69x = 74,474,461.97 × 74,474,461.97
  4. Step 4: Simplify right side
    48,452,248.69x = 5,546,445,485,534,790
  5. Step 5: Solve for x
    x = 5,546,445,485,534,790/48,452,248.69
  6. Step 6: Final answer
    x = 114,472,406.04

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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.