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Finding the Third Proportional to 12,806,049,002 and 27,749,473,498

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Solution

The third proportional to 12,806,049,002 and 27,749,473,498 is: 60,130,433,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806,049,002 : 27,749,473,498 = 27,749,473,498 : x
  2. Step 2: Convert to fraction form
    12,806,049,002/27,749,473,498 = 27,749,473,498/x
  3. Step 3: Cross multiply
    12,806,049,002x = 27,749,473,498 × 27,749,473,498
  4. Step 4: Simplify right side
    12,806,049,002x = 770,033,279,416,204,394,496
  5. Step 5: Solve for x
    x = 770,033,279,416,204,394,496/12,806,049,002
  6. Step 6: Final answer
    x = 60,130,433,617.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.