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Finding the Third Proportional to 8,533,874 and 18,661,812

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Solution

The third proportional to 8,533,874 and 18,661,812 is: 40,809,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533,874 : 18,661,812 = 18,661,812 : x
  2. Step 2: Convert to fraction form
    8,533,874/18,661,812 = 18,661,812/x
  3. Step 3: Cross multiply
    8,533,874x = 18,661,812 × 18,661,812
  4. Step 4: Simplify right side
    8,533,874x = 348,263,227,123,344
  5. Step 5: Solve for x
    x = 348,263,227,123,344/8,533,874
  6. Step 6: Final answer
    x = 40,809,511.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.