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Finding the Third Proportional to 757,986,394,716 and 1,685,447,729,979

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Solution

The third proportional to 757,986,394,716 and 1,685,447,729,979 is: 3,747,737,519,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,986,394,716 : 1,685,447,729,979 = 1,685,447,729,979 : x
  2. Step 2: Convert to fraction form
    757,986,394,716/1,685,447,729,979 = 1,685,447,729,979/x
  3. Step 3: Cross multiply
    757,986,394,716x = 1,685,447,729,979 × 1,685,447,729,979
  4. Step 4: Simplify right side
    757,986,394,716x = 2,840,734,050,491,364,148,248,576
  5. Step 5: Solve for x
    x = 2,840,734,050,491,364,148,248,576/757,986,394,716
  6. Step 6: Final answer
    x = 3,747,737,519,161.83

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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.