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Finding the Third Proportional to 5,174,840,847 and 11,256,367,212.50

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Solution

The third proportional to 5,174,840,847 and 11,256,367,212.50 is: 24,484,966,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,847 : 11,256,367,212.50 = 11,256,367,212.50 : x
  2. Step 2: Convert to fraction form
    5,174,840,847/11,256,367,212.50 = 11,256,367,212.50/x
  3. Step 3: Cross multiply
    5,174,840,847x = 11,256,367,212.50 × 11,256,367,212.50
  4. Step 4: Simplify right side
    5,174,840,847x = 126,705,802,822,645,022,720
  5. Step 5: Solve for x
    x = 126,705,802,822,645,022,720/5,174,840,847
  6. Step 6: Final answer
    x = 24,484,966,121.44

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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.