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Finding the Third Proportional to 3,397,405,691,542.40 and 7,452,566,625,176.40

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Solution

The third proportional to 3,397,405,691,542.40 and 7,452,566,625,176.40 is: 16,347,988,537,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,405,691,542.40 : 7,452,566,625,176.40 = 7,452,566,625,176.40 : x
  2. Step 2: Convert to fraction form
    3,397,405,691,542.40/7,452,566,625,176.40 = 7,452,566,625,176.40/x
  3. Step 3: Cross multiply
    3,397,405,691,542.40x = 7,452,566,625,176.40 × 7,452,566,625,176.40
  4. Step 4: Simplify right side
    3,397,405,691,542.40x = 55,540,749,302,693,163,392,040,960
  5. Step 5: Solve for x
    x = 55,540,749,302,693,163,392,040,960/3,397,405,691,542.40
  6. Step 6: Final answer
    x = 16,347,988,537,535.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.