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Finding the Third Proportional to 49,542,274,837,992 and 68,884,573,108,956

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Solution

The third proportional to 49,542,274,837,992 and 68,884,573,108,956 is: 95,778,492,770,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,274,837,992 : 68,884,573,108,956 = 68,884,573,108,956 : x
  2. Step 2: Convert to fraction form
    49,542,274,837,992/68,884,573,108,956 = 68,884,573,108,956/x
  3. Step 3: Cross multiply
    49,542,274,837,992x = 68,884,573,108,956 × 68,884,573,108,956
  4. Step 4: Simplify right side
    49,542,274,837,992x = 4,745,084,412,403,104,002,651,193,344
  5. Step 5: Solve for x
    x = 4,745,084,412,403,104,002,651,193,344/49,542,274,837,992
  6. Step 6: Final answer
    x = 95,778,492,770,466.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.