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Finding the Third Proportional to 31,652,990 and 68,589,812

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Solution

The third proportional to 31,652,990 and 68,589,812 is: 148,629,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652,990 : 68,589,812 = 68,589,812 : x
  2. Step 2: Convert to fraction form
    31,652,990/68,589,812 = 68,589,812/x
  3. Step 3: Cross multiply
    31,652,990x = 68,589,812 × 68,589,812
  4. Step 4: Simplify right side
    31,652,990x = 4,704,562,310,195,344
  5. Step 5: Solve for x
    x = 4,704,562,310,195,344/31,652,990
  6. Step 6: Final answer
    x = 148,629,317.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.