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Finding the Third Proportional to 13,379,968 and 20,100,096

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Solution

The third proportional to 13,379,968 and 20,100,096 is: 30,195,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379,968 : 20,100,096 = 20,100,096 : x
  2. Step 2: Convert to fraction form
    13,379,968/20,100,096 = 20,100,096/x
  3. Step 3: Cross multiply
    13,379,968x = 20,100,096 × 20,100,096
  4. Step 4: Simplify right side
    13,379,968x = 404,013,859,209,216
  5. Step 5: Solve for x
    x = 404,013,859,209,216/13,379,968
  6. Step 6: Final answer
    x = 30,195,427.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.