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Finding the Third Proportional to 36,976,244 and 82,449,928

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Solution

The third proportional to 36,976,244 and 82,449,928 is: 183,847,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976,244 : 82,449,928 = 82,449,928 : x
  2. Step 2: Convert to fraction form
    36,976,244/82,449,928 = 82,449,928/x
  3. Step 3: Cross multiply
    36,976,244x = 82,449,928 × 82,449,928
  4. Step 4: Simplify right side
    36,976,244x = 6,797,990,627,205,184
  5. Step 5: Solve for x
    x = 6,797,990,627,205,184/36,976,244
  6. Step 6: Final answer
    x = 183,847,516.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.