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Finding the Third Proportional to 6,777,978 and 14,930,943

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Solution

The third proportional to 6,777,978 and 14,930,943 is: 32,890,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777,978 : 14,930,943 = 14,930,943 : x
  2. Step 2: Convert to fraction form
    6,777,978/14,930,943 = 14,930,943/x
  3. Step 3: Cross multiply
    6,777,978x = 14,930,943 × 14,930,943
  4. Step 4: Simplify right side
    6,777,978x = 222,933,058,869,249
  5. Step 5: Solve for x
    x = 222,933,058,869,249/6,777,978
  6. Step 6: Final answer
    x = 32,890,791.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.