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Finding the Third Proportional to 20,471,111,094 and 31,451,599,689

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Solution

The third proportional to 20,471,111,094 and 31,451,599,689 is: 48,321,906,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471,111,094 : 31,451,599,689 = 31,451,599,689 : x
  2. Step 2: Convert to fraction form
    20,471,111,094/31,451,599,689 = 31,451,599,689/x
  3. Step 3: Cross multiply
    20,471,111,094x = 31,451,599,689 × 31,451,599,689
  4. Step 4: Simplify right side
    20,471,111,094x = 989,203,122,997,104,869,376
  5. Step 5: Solve for x
    x = 989,203,122,997,104,869,376/20,471,111,094
  6. Step 6: Final answer
    x = 48,321,906,830.31

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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.