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Finding the Third Proportional to 235,993,085,664 and 519,057,760,728

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Solution

The third proportional to 235,993,085,664 and 519,057,760,728 is: 1,141,647,680,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,993,085,664 : 519,057,760,728 = 519,057,760,728 : x
  2. Step 2: Convert to fraction form
    235,993,085,664/519,057,760,728 = 519,057,760,728/x
  3. Step 3: Cross multiply
    235,993,085,664x = 519,057,760,728 × 519,057,760,728
  4. Step 4: Simplify right side
    235,993,085,664x = 269,420,958,971,965,711,843,328
  5. Step 5: Solve for x
    x = 269,420,958,971,965,711,843,328/235,993,085,664
  6. Step 6: Final answer
    x = 1,141,647,680,964.51

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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.