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Finding the Third Proportional to 12,834,570,288 and 27,435,438,867

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Solution

The third proportional to 12,834,570,288 and 27,435,438,867 is: 58,646,552,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834,570,288 : 27,435,438,867 = 27,435,438,867 : x
  2. Step 2: Convert to fraction form
    12,834,570,288/27,435,438,867 = 27,435,438,867/x
  3. Step 3: Cross multiply
    12,834,570,288x = 27,435,438,867 × 27,435,438,867
  4. Step 4: Simplify right side
    12,834,570,288x = 752,703,305,824,894,189,568
  5. Step 5: Solve for x
    x = 752,703,305,824,894,189,568/12,834,570,288
  6. Step 6: Final answer
    x = 58,646,552,937.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.