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Finding the Third Proportional to 8,244,087.75 and 17,620,296.75

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Solution

The third proportional to 8,244,087.75 and 17,620,296.75 is: 37,660,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244,087.75 : 17,620,296.75 = 17,620,296.75 : x
  2. Step 2: Convert to fraction form
    8,244,087.75/17,620,296.75 = 17,620,296.75/x
  3. Step 3: Cross multiply
    8,244,087.75x = 17,620,296.75 × 17,620,296.75
  4. Step 4: Simplify right side
    8,244,087.75x = 310,474,857,558,060.56
  5. Step 5: Solve for x
    x = 310,474,857,558,060.56/8,244,087.75
  6. Step 6: Final answer
    x = 37,660,304.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.