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Finding the Third Proportional to 3,231,631,020 and 7,067,922,648

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Solution

The third proportional to 3,231,631,020 and 7,067,922,648 is: 15,458,302,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,631,020 : 7,067,922,648 = 7,067,922,648 : x
  2. Step 2: Convert to fraction form
    3,231,631,020/7,067,922,648 = 7,067,922,648/x
  3. Step 3: Cross multiply
    3,231,631,020x = 7,067,922,648 × 7,067,922,648
  4. Step 4: Simplify right side
    3,231,631,020x = 49,955,530,558,111,334,400
  5. Step 5: Solve for x
    x = 49,955,530,558,111,334,400/3,231,631,020
  6. Step 6: Final answer
    x = 15,458,302,711.21

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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.