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Finding the Third Proportional to 33,296,059,134 and 77,693,489,444

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Solution

The third proportional to 33,296,059,134 and 77,693,489,444 is: 181,291,073,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296,059,134 : 77,693,489,444 = 77,693,489,444 : x
  2. Step 2: Convert to fraction form
    33,296,059,134/77,693,489,444 = 77,693,489,444/x
  3. Step 3: Cross multiply
    33,296,059,134x = 77,693,489,444 × 77,693,489,444
  4. Step 4: Simplify right side
    33,296,059,134x = 6,036,278,301,984,939,835,392
  5. Step 5: Solve for x
    x = 6,036,278,301,984,939,835,392/33,296,059,134
  6. Step 6: Final answer
    x = 181,291,073,447.82

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Why These Related Problems?

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