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Finding the Third Proportional to 33,296,059,161 and 77,693,489,514

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Solution

The third proportional to 33,296,059,161 and 77,693,489,514 is: 181,291,073,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296,059,161 : 77,693,489,514 = 77,693,489,514 : x
  2. Step 2: Convert to fraction form
    33,296,059,161/77,693,489,514 = 77,693,489,514/x
  3. Step 3: Cross multiply
    33,296,059,161x = 77,693,489,514 × 77,693,489,514
  4. Step 4: Simplify right side
    33,296,059,161x = 6,036,278,312,862,028,398,592
  5. Step 5: Solve for x
    x = 6,036,278,312,862,028,398,592/33,296,059,161
  6. Step 6: Final answer
    x = 181,291,073,627.49

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.