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Finding the Third Proportional to 20,471,111,100 and 31,451,599,698

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Solution

The third proportional to 20,471,111,100 and 31,451,599,698 is: 48,321,906,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471,111,100 : 31,451,599,698 = 31,451,599,698 : x
  2. Step 2: Convert to fraction form
    20,471,111,100/31,451,599,698 = 31,451,599,698/x
  3. Step 3: Cross multiply
    20,471,111,100x = 31,451,599,698 × 31,451,599,698
  4. Step 4: Simplify right side
    20,471,111,100x = 989,203,123,563,233,673,216
  5. Step 5: Solve for x
    x = 989,203,123,563,233,673,216/20,471,111,100
  6. Step 6: Final answer
    x = 48,321,906,843.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.