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Finding the Third Proportional to 40,041,223 and 87,422,016

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Solution

The third proportional to 40,041,223 and 87,422,016 is: 190,868,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,041,223 : 87,422,016 = 87,422,016 : x
  2. Step 2: Convert to fraction form
    40,041,223/87,422,016 = 87,422,016/x
  3. Step 3: Cross multiply
    40,041,223x = 87,422,016 × 87,422,016
  4. Step 4: Simplify right side
    40,041,223x = 7,642,608,881,504,256
  5. Step 5: Solve for x
    x = 7,642,608,881,504,256/40,041,223
  6. Step 6: Final answer
    x = 190,868,517.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.