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Finding the Third Proportional to 12,775,524,064 and 27,800,659,472

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Solution

The third proportional to 12,775,524,064 and 27,800,659,472 is: 60,496,670,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,524,064 : 27,800,659,472 = 27,800,659,472 : x
  2. Step 2: Convert to fraction form
    12,775,524,064/27,800,659,472 = 27,800,659,472/x
  3. Step 3: Cross multiply
    12,775,524,064x = 27,800,659,472 × 27,800,659,472
  4. Step 4: Simplify right side
    12,775,524,064x = 772,876,667,078,103,269,376
  5. Step 5: Solve for x
    x = 772,876,667,078,103,269,376/12,775,524,064
  6. Step 6: Final answer
    x = 60,496,670,289.71

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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.