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Finding the Third Proportional to 827,230,179 and 1,785,187,566

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Solution

The third proportional to 827,230,179 and 1,785,187,566 is: 3,852,488,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,230,179 : 1,785,187,566 = 1,785,187,566 : x
  2. Step 2: Convert to fraction form
    827,230,179/1,785,187,566 = 1,785,187,566/x
  3. Step 3: Cross multiply
    827,230,179x = 1,785,187,566 × 1,785,187,566
  4. Step 4: Simplify right side
    827,230,179x = 3,186,894,645,801,004,544
  5. Step 5: Solve for x
    x = 3,186,894,645,801,004,544/827,230,179
  6. Step 6: Final answer
    x = 3,852,488,372.29

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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.