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Finding the Third Proportional to 6,394,411 and 13,379,989

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Solution

The third proportional to 6,394,411 and 13,379,989 is: 27,996,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394,411 : 13,379,989 = 13,379,989 : x
  2. Step 2: Convert to fraction form
    6,394,411/13,379,989 = 13,379,989/x
  3. Step 3: Cross multiply
    6,394,411x = 13,379,989 × 13,379,989
  4. Step 4: Simplify right side
    6,394,411x = 179,024,105,640,121
  5. Step 5: Solve for x
    x = 179,024,105,640,121/6,394,411
  6. Step 6: Final answer
    x = 27,996,965.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.