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Finding the Third Proportional to 235,993,085,646 and 519,057,760,692

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Solution

The third proportional to 235,993,085,646 and 519,057,760,692 is: 1,141,647,680,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,993,085,646 : 519,057,760,692 = 519,057,760,692 : x
  2. Step 2: Convert to fraction form
    235,993,085,646/519,057,760,692 = 519,057,760,692/x
  3. Step 3: Cross multiply
    235,993,085,646x = 519,057,760,692 × 519,057,760,692
  4. Step 4: Simplify right side
    235,993,085,646x = 269,420,958,934,593,523,679,232
  5. Step 5: Solve for x
    x = 269,420,958,934,593,523,679,232/235,993,085,646
  6. Step 6: Final answer
    x = 1,141,647,680,893.23

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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.