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Finding the Third Proportional to 8,647,024 and 18,770,912

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Solution

The third proportional to 8,647,024 and 18,770,912 is: 40,747,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647,024 : 18,770,912 = 18,770,912 : x
  2. Step 2: Convert to fraction form
    8,647,024/18,770,912 = 18,770,912/x
  3. Step 3: Cross multiply
    8,647,024x = 18,770,912 × 18,770,912
  4. Step 4: Simplify right side
    8,647,024x = 352,347,137,311,744
  5. Step 5: Solve for x
    x = 352,347,137,311,744/8,647,024
  6. Step 6: Final answer
    x = 40,747,792.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.