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Finding the Third Proportional to 31,142,827 and 68,150,650

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Solution

The third proportional to 31,142,827 and 68,150,650 is: 149,135,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142,827 : 68,150,650 = 68,150,650 : x
  2. Step 2: Convert to fraction form
    31,142,827/68,150,650 = 68,150,650/x
  3. Step 3: Cross multiply
    31,142,827x = 68,150,650 × 68,150,650
  4. Step 4: Simplify right side
    31,142,827x = 4,644,511,095,422,500
  5. Step 5: Solve for x
    x = 4,644,511,095,422,500/31,142,827
  6. Step 6: Final answer
    x = 149,135,821.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.