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Finding the Third Proportional to 6,481,649 and 13,968,164

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Solution

The third proportional to 6,481,649 and 13,968,164 is: 30,101,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,649 : 13,968,164 = 13,968,164 : x
  2. Step 2: Convert to fraction form
    6,481,649/13,968,164 = 13,968,164/x
  3. Step 3: Cross multiply
    6,481,649x = 13,968,164 × 13,968,164
  4. Step 4: Simplify right side
    6,481,649x = 195,109,605,530,896
  5. Step 5: Solve for x
    x = 195,109,605,530,896/6,481,649
  6. Step 6: Final answer
    x = 30,101,846.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.