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Finding the Third Proportional to 1,212,321,600 and 2,618,640,360

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Solution

The third proportional to 1,212,321,600 and 2,618,640,360 is: 5,656,318,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,321,600 : 2,618,640,360 = 2,618,640,360 : x
  2. Step 2: Convert to fraction form
    1,212,321,600/2,618,640,360 = 2,618,640,360/x
  3. Step 3: Cross multiply
    1,212,321,600x = 2,618,640,360 × 2,618,640,360
  4. Step 4: Simplify right side
    1,212,321,600x = 6,857,277,335,020,930,048
  5. Step 5: Solve for x
    x = 6,857,277,335,020,930,048/1,212,321,600
  6. Step 6: Final answer
    x = 5,656,318,698.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.