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Finding the Third Proportional to 6,198,120 and 13,494,096

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Solution

The third proportional to 6,198,120 and 13,494,096 is: 29,378,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,120 : 13,494,096 = 13,494,096 : x
  2. Step 2: Convert to fraction form
    6,198,120/13,494,096 = 13,494,096/x
  3. Step 3: Cross multiply
    6,198,120x = 13,494,096 × 13,494,096
  4. Step 4: Simplify right side
    6,198,120x = 182,090,626,857,216
  5. Step 5: Solve for x
    x = 182,090,626,857,216/6,198,120
  6. Step 6: Final answer
    x = 29,378,364.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.