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Finding the Third Proportional to 3,231,631,014 and 7,067,922,636

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Solution

The third proportional to 3,231,631,014 and 7,067,922,636 is: 15,458,302,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,631,014 : 7,067,922,636 = 7,067,922,636 : x
  2. Step 2: Convert to fraction form
    3,231,631,014/7,067,922,636 = 7,067,922,636/x
  3. Step 3: Cross multiply
    3,231,631,014x = 7,067,922,636 × 7,067,922,636
  4. Step 4: Simplify right side
    3,231,631,014x = 49,955,530,388,481,187,840
  5. Step 5: Solve for x
    x = 49,955,530,388,481,187,840/3,231,631,014
  6. Step 6: Final answer
    x = 15,458,302,687.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.