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Finding the Third Proportional to 12,775,524,066 and 27,800,659,476

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Solution

The third proportional to 12,775,524,066 and 27,800,659,476 is: 60,496,670,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,524,066 : 27,800,659,476 = 27,800,659,476 : x
  2. Step 2: Convert to fraction form
    12,775,524,066/27,800,659,476 = 27,800,659,476/x
  3. Step 3: Cross multiply
    12,775,524,066x = 27,800,659,476 × 27,800,659,476
  4. Step 4: Simplify right side
    12,775,524,066x = 772,876,667,300,508,598,272
  5. Step 5: Solve for x
    x = 772,876,667,300,508,598,272/12,775,524,066
  6. Step 6: Final answer
    x = 60,496,670,297.65

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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.