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Finding the Third Proportional to 31,894,660 and 68,321,000

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Solution

The third proportional to 31,894,660 and 68,321,000 is: 146,349,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894,660 : 68,321,000 = 68,321,000 : x
  2. Step 2: Convert to fraction form
    31,894,660/68,321,000 = 68,321,000/x
  3. Step 3: Cross multiply
    31,894,660x = 68,321,000 × 68,321,000
  4. Step 4: Simplify right side
    31,894,660x = 4,667,759,041,000,000
  5. Step 5: Solve for x
    x = 4,667,759,041,000,000/31,894,660
  6. Step 6: Final answer
    x = 146,349,233.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.