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Finding the Third Proportional to 3,270,960,945 and 7,141,387,329

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Solution

The third proportional to 3,270,960,945 and 7,141,387,329 is: 15,591,568,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,960,945 : 7,141,387,329 = 7,141,387,329 : x
  2. Step 2: Convert to fraction form
    3,270,960,945/7,141,387,329 = 7,141,387,329/x
  3. Step 3: Cross multiply
    3,270,960,945x = 7,141,387,329 × 7,141,387,329
  4. Step 4: Simplify right side
    3,270,960,945x = 50,999,412,982,801,752,064
  5. Step 5: Solve for x
    x = 50,999,412,982,801,752,064/3,270,960,945
  6. Step 6: Final answer
    x = 15,591,568,912.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.