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Finding the Third Proportional to 796,476,664,136 and 1,751,819,942,497

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Solution

The third proportional to 796,476,664,136 and 1,751,819,942,497 is: 3,853,060,923,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,476,664,136 : 1,751,819,942,497 = 1,751,819,942,497 : x
  2. Step 2: Convert to fraction form
    796,476,664,136/1,751,819,942,497 = 1,751,819,942,497/x
  3. Step 3: Cross multiply
    796,476,664,136x = 1,751,819,942,497 × 1,751,819,942,497
  4. Step 4: Simplify right side
    796,476,664,136x = 3,068,873,110,930,192,628,449,280
  5. Step 5: Solve for x
    x = 3,068,873,110,930,192,628,449,280/796,476,664,136
  6. Step 6: Final answer
    x = 3,853,060,923,334.44

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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.