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Finding the Third Proportional to 12,096,800,236 and 18,976,292,980

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Solution

The third proportional to 12,096,800,236 and 18,976,292,980 is: 29,768,177,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,800,236 : 18,976,292,980 = 18,976,292,980 : x
  2. Step 2: Convert to fraction form
    12,096,800,236/18,976,292,980 = 18,976,292,980/x
  3. Step 3: Cross multiply
    12,096,800,236x = 18,976,292,980 × 18,976,292,980
  4. Step 4: Simplify right side
    12,096,800,236x = 360,099,695,262,797,266,944
  5. Step 5: Solve for x
    x = 360,099,695,262,797,266,944/12,096,800,236
  6. Step 6: Final answer
    x = 29,768,177,388.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.