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Finding the Third Proportional to 31,832,800 and 68,203,609

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Solution

The third proportional to 31,832,800 and 68,203,609 is: 146,130,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,800 : 68,203,609 = 68,203,609 : x
  2. Step 2: Convert to fraction form
    31,832,800/68,203,609 = 68,203,609/x
  3. Step 3: Cross multiply
    31,832,800x = 68,203,609 × 68,203,609
  4. Step 4: Simplify right side
    31,832,800x = 4,651,732,280,624,881
  5. Step 5: Solve for x
    x = 4,651,732,280,624,881/31,832,800
  6. Step 6: Final answer
    x = 146,130,163.88

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