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Finding the Third Proportional to 11,933,608,200 and 18,720,309,640

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Solution

The third proportional to 11,933,608,200 and 18,720,309,640 is: 29,366,641,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933,608,200 : 18,720,309,640 = 18,720,309,640 : x
  2. Step 2: Convert to fraction form
    11,933,608,200/18,720,309,640 = 18,720,309,640/x
  3. Step 3: Cross multiply
    11,933,608,200x = 18,720,309,640 × 18,720,309,640
  4. Step 4: Simplify right side
    11,933,608,200x = 350,449,993,017,476,907,008
  5. Step 5: Solve for x
    x = 350,449,993,017,476,907,008/11,933,608,200
  6. Step 6: Final answer
    x = 29,366,641,433.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.