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Finding the Third Proportional to 1,644,250,195.50 and 3,836,716,299

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Solution

The third proportional to 1,644,250,195.50 and 3,836,716,299 is: 8,952,647,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,250,195.50 : 3,836,716,299 = 3,836,716,299 : x
  2. Step 2: Convert to fraction form
    1,644,250,195.50/3,836,716,299 = 3,836,716,299/x
  3. Step 3: Cross multiply
    1,644,250,195.50x = 3,836,716,299 × 3,836,716,299
  4. Step 4: Simplify right side
    1,644,250,195.50x = 14,720,391,959,012,257,792
  5. Step 5: Solve for x
    x = 14,720,391,959,012,257,792/1,644,250,195.50
  6. Step 6: Final answer
    x = 8,952,647,230.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.