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Finding the Third Proportional to 3,397,405,691,542.40 and 7,452,566,625,176.20

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Solution

The third proportional to 3,397,405,691,542.40 and 7,452,566,625,176.20 is: 16,347,988,537,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,405,691,542.40 : 7,452,566,625,176.20 = 7,452,566,625,176.20 : x
  2. Step 2: Convert to fraction form
    3,397,405,691,542.40/7,452,566,625,176.20 = 7,452,566,625,176.20/x
  3. Step 3: Cross multiply
    3,397,405,691,542.40x = 7,452,566,625,176.20 × 7,452,566,625,176.20
  4. Step 4: Simplify right side
    3,397,405,691,542.40x = 55,540,749,302,690,174,094,802,944
  5. Step 5: Solve for x
    x = 55,540,749,302,690,174,094,802,944/3,397,405,691,542.40
  6. Step 6: Final answer
    x = 16,347,988,537,534.66

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Why These Related Problems?

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