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Finding the Third Proportional to 2,422,970,896 and 5,270,471,216

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Solution

The third proportional to 2,422,970,896 and 5,270,471,216 is: 11,464,383,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,970,896 : 5,270,471,216 = 5,270,471,216 : x
  2. Step 2: Convert to fraction form
    2,422,970,896/5,270,471,216 = 5,270,471,216/x
  3. Step 3: Cross multiply
    2,422,970,896x = 5,270,471,216 × 5,270,471,216
  4. Step 4: Simplify right side
    2,422,970,896x = 27,777,866,838,684,520,448
  5. Step 5: Solve for x
    x = 27,777,866,838,684,520,448/2,422,970,896
  6. Step 6: Final answer
    x = 11,464,383,201.85

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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.