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Finding the Third Proportional to 31,510,758 and 68,399,372

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Solution

The third proportional to 31,510,758 and 68,399,372 is: 148,472,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510,758 : 68,399,372 = 68,399,372 : x
  2. Step 2: Convert to fraction form
    31,510,758/68,399,372 = 68,399,372/x
  3. Step 3: Cross multiply
    31,510,758x = 68,399,372 × 68,399,372
  4. Step 4: Simplify right side
    31,510,758x = 4,678,474,089,994,384
  5. Step 5: Solve for x
    x = 4,678,474,089,994,384/31,510,758
  6. Step 6: Final answer
    x = 148,472,280.17

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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.