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Finding the Third Proportional to 31,854,486 and 49,189,936.50

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Solution

The third proportional to 31,854,486 and 49,189,936.50 is: 75,959,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,486 : 49,189,936.50 = 49,189,936.50 : x
  2. Step 2: Convert to fraction form
    31,854,486/49,189,936.50 = 49,189,936.50/x
  3. Step 3: Cross multiply
    31,854,486x = 49,189,936.50 × 49,189,936.50
  4. Step 4: Simplify right side
    31,854,486x = 2,419,649,852,874,032
  5. Step 5: Solve for x
    x = 2,419,649,852,874,032/31,854,486
  6. Step 6: Final answer
    x = 75,959,469.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.