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Finding the Third Proportional to 353,481,236 and 763,193,689

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Solution

The third proportional to 353,481,236 and 763,193,689 is: 1,647,794,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,481,236 : 763,193,689 = 763,193,689 : x
  2. Step 2: Convert to fraction form
    353,481,236/763,193,689 = 763,193,689/x
  3. Step 3: Cross multiply
    353,481,236x = 763,193,689 × 763,193,689
  4. Step 4: Simplify right side
    353,481,236x = 582,464,606,929,428,736
  5. Step 5: Solve for x
    x = 582,464,606,929,428,736/353,481,236
  6. Step 6: Final answer
    x = 1,647,794,982.05

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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.