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Finding the Third Proportional to 796,476,664,134 and 1,751,819,942,493

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Solution

The third proportional to 796,476,664,134 and 1,751,819,942,493 is: 3,853,060,923,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,476,664,134 : 1,751,819,942,493 = 1,751,819,942,493 : x
  2. Step 2: Convert to fraction form
    796,476,664,134/1,751,819,942,493 = 1,751,819,942,493/x
  3. Step 3: Cross multiply
    796,476,664,134x = 1,751,819,942,493 × 1,751,819,942,493
  4. Step 4: Simplify right side
    796,476,664,134x = 3,068,873,110,916,177,613,291,520
  5. Step 5: Solve for x
    x = 3,068,873,110,916,177,613,291,520/796,476,664,134
  6. Step 6: Final answer
    x = 3,853,060,923,326.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.