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Finding the Third Proportional to 11,589,510 and 15,740,096

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Solution

The third proportional to 11,589,510 and 15,740,096 is: 21,377,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,510 : 15,740,096 = 15,740,096 : x
  2. Step 2: Convert to fraction form
    11,589,510/15,740,096 = 15,740,096/x
  3. Step 3: Cross multiply
    11,589,510x = 15,740,096 × 15,740,096
  4. Step 4: Simplify right side
    11,589,510x = 247,750,622,089,216
  5. Step 5: Solve for x
    x = 247,750,622,089,216/11,589,510
  6. Step 6: Final answer
    x = 21,377,143.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.