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Finding the Third Proportional to 6,379,839 and 13,999,761

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Solution

The third proportional to 6,379,839 and 13,999,761 is: 30,720,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379,839 : 13,999,761 = 13,999,761 : x
  2. Step 2: Convert to fraction form
    6,379,839/13,999,761 = 13,999,761/x
  3. Step 3: Cross multiply
    6,379,839x = 13,999,761 × 13,999,761
  4. Step 4: Simplify right side
    6,379,839x = 195,993,308,057,121
  5. Step 5: Solve for x
    x = 195,993,308,057,121/6,379,839
  6. Step 6: Final answer
    x = 30,720,729.48

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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.