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Finding the Third Proportional to 49,814,837 and 109,436,668

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Solution

The third proportional to 49,814,837 and 109,436,668 is: 240,418,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,837 : 109,436,668 = 109,436,668 : x
  2. Step 2: Convert to fraction form
    49,814,837/109,436,668 = 109,436,668/x
  3. Step 3: Cross multiply
    49,814,837x = 109,436,668 × 109,436,668
  4. Step 4: Simplify right side
    49,814,837x = 11,976,384,302,942,224
  5. Step 5: Solve for x
    x = 11,976,384,302,942,224/49,814,837
  6. Step 6: Final answer
    x = 240,418,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.