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Finding the Third Proportional to 1,383,755,760 and 2,228,302,530

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Solution

The third proportional to 1,383,755,760 and 2,228,302,530 is: 3,588,300,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,755,760 : 2,228,302,530 = 2,228,302,530 : x
  2. Step 2: Convert to fraction form
    1,383,755,760/2,228,302,530 = 2,228,302,530/x
  3. Step 3: Cross multiply
    1,383,755,760x = 2,228,302,530 × 2,228,302,530
  4. Step 4: Simplify right side
    1,383,755,760x = 4,965,332,165,204,401,152
  5. Step 5: Solve for x
    x = 4,965,332,165,204,401,152/1,383,755,760
  6. Step 6: Final answer
    x = 3,588,300,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.