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Finding the Third Proportional to 5,229,270,443 and 11,204,564,967

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Solution

The third proportional to 5,229,270,443 and 11,204,564,967 is: 24,007,608,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,270,443 : 11,204,564,967 = 11,204,564,967 : x
  2. Step 2: Convert to fraction form
    5,229,270,443/11,204,564,967 = 11,204,564,967/x
  3. Step 3: Cross multiply
    5,229,270,443x = 11,204,564,967 × 11,204,564,967
  4. Step 4: Simplify right side
    5,229,270,443x = 125,542,276,099,723,706,368
  5. Step 5: Solve for x
    x = 125,542,276,099,723,706,368/5,229,270,443
  6. Step 6: Final answer
    x = 24,007,608,225.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.