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Finding the Third Proportional to 6,757,713.75 and 13,994,489.25

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Solution

The third proportional to 6,757,713.75 and 13,994,489.25 is: 28,981,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,713.75 : 13,994,489.25 = 13,994,489.25 : x
  2. Step 2: Convert to fraction form
    6,757,713.75/13,994,489.25 = 13,994,489.25/x
  3. Step 3: Cross multiply
    6,757,713.75x = 13,994,489.25 × 13,994,489.25
  4. Step 4: Simplify right side
    6,757,713.75x = 195,845,729,368,365.56
  5. Step 5: Solve for x
    x = 195,845,729,368,365.56/6,757,713.75
  6. Step 6: Final answer
    x = 28,981,063.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.