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Finding the Third Proportional to 38,940,874 and 83,093,864

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Solution

The third proportional to 38,940,874 and 83,093,864 is: 177,309,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940,874 : 83,093,864 = 83,093,864 : x
  2. Step 2: Convert to fraction form
    38,940,874/83,093,864 = 83,093,864/x
  3. Step 3: Cross multiply
    38,940,874x = 83,093,864 × 83,093,864
  4. Step 4: Simplify right side
    38,940,874x = 6,904,590,234,450,496
  5. Step 5: Solve for x
    x = 6,904,590,234,450,496/38,940,874
  6. Step 6: Final answer
    x = 177,309,585.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.