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Finding the Third Proportional to 807,624,048,137 and 1,744,198,109,204

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Solution

The third proportional to 807,624,048,137 and 1,744,198,109,204 is: 3,766,885,162,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,624,048,137 : 1,744,198,109,204 = 1,744,198,109,204 : x
  2. Step 2: Convert to fraction form
    807,624,048,137/1,744,198,109,204 = 1,744,198,109,204/x
  3. Step 3: Cross multiply
    807,624,048,137x = 1,744,198,109,204 × 1,744,198,109,204
  4. Step 4: Simplify right side
    807,624,048,137x = 3,042,227,044,150,808,498,143,232
  5. Step 5: Solve for x
    x = 3,042,227,044,150,808,498,143,232/807,624,048,137
  6. Step 6: Final answer
    x = 3,766,885,162,927.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.