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Finding the Third Proportional to 11,831,400 and 25,456,176

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Solution

The third proportional to 11,831,400 and 25,456,176 is: 54,770,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,400 : 25,456,176 = 25,456,176 : x
  2. Step 2: Convert to fraction form
    11,831,400/25,456,176 = 25,456,176/x
  3. Step 3: Cross multiply
    11,831,400x = 25,456,176 × 25,456,176
  4. Step 4: Simplify right side
    11,831,400x = 648,016,896,542,976
  5. Step 5: Solve for x
    x = 648,016,896,542,976/11,831,400
  6. Step 6: Final answer
    x = 54,770,939.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.