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Finding the Third Proportional to 31,522,352.25 and 68,425,251

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Solution

The third proportional to 31,522,352.25 and 68,425,251 is: 148,529,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522,352.25 : 68,425,251 = 68,425,251 : x
  2. Step 2: Convert to fraction form
    31,522,352.25/68,425,251 = 68,425,251/x
  3. Step 3: Cross multiply
    31,522,352.25x = 68,425,251 × 68,425,251
  4. Step 4: Simplify right side
    31,522,352.25x = 4,682,014,974,413,001
  5. Step 5: Solve for x
    x = 4,682,014,974,413,001/31,522,352.25
  6. Step 6: Final answer
    x = 148,529,999.83

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Why These Related Problems?

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