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Finding the Third Proportional to 31,195,868 and 67,324,108

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Solution

The third proportional to 31,195,868 and 67,324,108 is: 145,292,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,868 : 67,324,108 = 67,324,108 : x
  2. Step 2: Convert to fraction form
    31,195,868/67,324,108 = 67,324,108/x
  3. Step 3: Cross multiply
    31,195,868x = 67,324,108 × 67,324,108
  4. Step 4: Simplify right side
    31,195,868x = 4,532,535,517,995,664
  5. Step 5: Solve for x
    x = 4,532,535,517,995,664/31,195,868
  6. Step 6: Final answer
    x = 145,292,816.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.