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Finding the Third Proportional to 31,772,256 and 49,096,227

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Solution

The third proportional to 31,772,256 and 49,096,227 is: 75,866,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,256 : 49,096,227 = 49,096,227 : x
  2. Step 2: Convert to fraction form
    31,772,256/49,096,227 = 49,096,227/x
  3. Step 3: Cross multiply
    31,772,256x = 49,096,227 × 49,096,227
  4. Step 4: Simplify right side
    31,772,256x = 2,410,439,505,635,529
  5. Step 5: Solve for x
    x = 2,410,439,505,635,529/31,772,256
  6. Step 6: Final answer
    x = 75,866,174.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.