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Finding the Third Proportional to 22,843,640 and 31,324,812

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Solution

The third proportional to 22,843,640 and 31,324,812 is: 42,954,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843,640 : 31,324,812 = 31,324,812 : x
  2. Step 2: Convert to fraction form
    22,843,640/31,324,812 = 31,324,812/x
  3. Step 3: Cross multiply
    22,843,640x = 31,324,812 × 31,324,812
  4. Step 4: Simplify right side
    22,843,640x = 981,243,846,835,344
  5. Step 5: Solve for x
    x = 981,243,846,835,344/22,843,640
  6. Step 6: Final answer
    x = 42,954,793.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.