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Finding the Third Proportional to 5,546,592,976 and 11,286,896,544

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Solution

The third proportional to 5,546,592,976 and 11,286,896,544 is: 22,967,979,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546,592,976 : 11,286,896,544 = 11,286,896,544 : x
  2. Step 2: Convert to fraction form
    5,546,592,976/11,286,896,544 = 11,286,896,544/x
  3. Step 3: Cross multiply
    5,546,592,976x = 11,286,896,544 × 11,286,896,544
  4. Step 4: Simplify right side
    5,546,592,976x = 127,394,033,594,959,151,104
  5. Step 5: Solve for x
    x = 127,394,033,594,959,151,104/5,546,592,976
  6. Step 6: Final answer
    x = 22,967,979,468.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.