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Finding the Third Proportional to 23,078,616.75 and 36,544,398.75

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Solution

The third proportional to 23,078,616.75 and 36,544,398.75 is: 57,867,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078,616.75 : 36,544,398.75 = 36,544,398.75 : x
  2. Step 2: Convert to fraction form
    23,078,616.75/36,544,398.75 = 36,544,398.75/x
  3. Step 3: Cross multiply
    23,078,616.75x = 36,544,398.75 × 36,544,398.75
  4. Step 4: Simplify right side
    23,078,616.75x = 1,335,493,079,999,001.50
  5. Step 5: Solve for x
    x = 1,335,493,079,999,001.50/23,078,616.75
  6. Step 6: Final answer
    x = 57,867,119.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.