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Finding the Third Proportional to 48,451,587.75 and 74,473,593.96

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Solution

The third proportional to 48,451,587.75 and 74,473,593.96 is: 114,471,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,587.75 : 74,473,593.96 = 74,473,593.96 : x
  2. Step 2: Convert to fraction form
    48,451,587.75/74,473,593.96 = 74,473,593.96/x
  3. Step 3: Cross multiply
    48,451,587.75x = 74,473,593.96 × 74,473,593.96
  4. Step 4: Simplify right side
    48,451,587.75x = 5,546,316,197,458,959
  5. Step 5: Solve for x
    x = 5,546,316,197,458,959/48,451,587.75
  6. Step 6: Final answer
    x = 114,471,299.19

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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.