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Finding the Third Proportional to 3,397,405,691,552.70 and 7,452,566,625,196.20

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Solution

The third proportional to 3,397,405,691,552.70 and 7,452,566,625,196.20 is: 16,347,988,537,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,405,691,552.70 : 7,452,566,625,196.20 = 7,452,566,625,196.20 : x
  2. Step 2: Convert to fraction form
    3,397,405,691,552.70/7,452,566,625,196.20 = 7,452,566,625,196.20/x
  3. Step 3: Cross multiply
    3,397,405,691,552.70x = 7,452,566,625,196.20 × 7,452,566,625,196.20
  4. Step 4: Simplify right side
    3,397,405,691,552.70x = 55,540,749,302,988,279,184,883,712
  5. Step 5: Solve for x
    x = 55,540,749,302,988,279,184,883,712/3,397,405,691,552.70
  6. Step 6: Final answer
    x = 16,347,988,537,572.84

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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.