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Finding the Third Proportional to 6,198,112 and 13,494,080

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Solution

The third proportional to 6,198,112 and 13,494,080 is: 29,378,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,112 : 13,494,080 = 13,494,080 : x
  2. Step 2: Convert to fraction form
    6,198,112/13,494,080 = 13,494,080/x
  3. Step 3: Cross multiply
    6,198,112x = 13,494,080 × 13,494,080
  4. Step 4: Simplify right side
    6,198,112x = 182,090,195,046,400
  5. Step 5: Solve for x
    x = 182,090,195,046,400/6,198,112
  6. Step 6: Final answer
    x = 29,378,332.47

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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.