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Finding the Third Proportional to 8,233,618,164 and 12,722,305,190

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Solution

The third proportional to 8,233,618,164 and 12,722,305,190 is: 19,658,070,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233,618,164 : 12,722,305,190 = 12,722,305,190 : x
  2. Step 2: Convert to fraction form
    8,233,618,164/12,722,305,190 = 12,722,305,190/x
  3. Step 3: Cross multiply
    8,233,618,164x = 12,722,305,190 × 12,722,305,190
  4. Step 4: Simplify right side
    8,233,618,164x = 161,857,049,347,500,933,120
  5. Step 5: Solve for x
    x = 161,857,049,347,500,933,120/8,233,618,164
  6. Step 6: Final answer
    x = 19,658,070,865.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.