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Finding the Third Proportional to 12,141,100,827 and 27,073,834,254

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Solution

The third proportional to 12,141,100,827 and 27,073,834,254 is: 60,372,820,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141,100,827 : 27,073,834,254 = 27,073,834,254 : x
  2. Step 2: Convert to fraction form
    12,141,100,827/27,073,834,254 = 27,073,834,254/x
  3. Step 3: Cross multiply
    12,141,100,827x = 27,073,834,254 × 27,073,834,254
  4. Step 4: Simplify right side
    12,141,100,827x = 732,992,501,213,063,675,904
  5. Step 5: Solve for x
    x = 732,992,501,213,063,675,904/12,141,100,827
  6. Step 6: Final answer
    x = 60,372,820,525.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.