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Finding the Third Proportional to 757,986,394,724 and 1,685,447,729,996

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Solution

The third proportional to 757,986,394,724 and 1,685,447,729,996 is: 3,747,737,519,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,986,394,724 : 1,685,447,729,996 = 1,685,447,729,996 : x
  2. Step 2: Convert to fraction form
    757,986,394,724/1,685,447,729,996 = 1,685,447,729,996/x
  3. Step 3: Cross multiply
    757,986,394,724x = 1,685,447,729,996 × 1,685,447,729,996
  4. Step 4: Simplify right side
    757,986,394,724x = 2,840,734,050,548,669,212,524,544
  5. Step 5: Solve for x
    x = 2,840,734,050,548,669,212,524,544/757,986,394,724
  6. Step 6: Final answer
    x = 3,747,737,519,197.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.