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Finding the Third Proportional to 2,422,970,888 and 5,270,471,200

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Solution

The third proportional to 2,422,970,888 and 5,270,471,200 is: 11,464,383,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,970,888 : 5,270,471,200 = 5,270,471,200 : x
  2. Step 2: Convert to fraction form
    2,422,970,888/5,270,471,200 = 5,270,471,200/x
  3. Step 3: Cross multiply
    2,422,970,888x = 5,270,471,200 × 5,270,471,200
  4. Step 4: Simplify right side
    2,422,970,888x = 27,777,866,670,029,438,976
  5. Step 5: Solve for x
    x = 27,777,866,670,029,438,976/2,422,970,888
  6. Step 6: Final answer
    x = 11,464,383,170.10

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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.