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Finding the Third Proportional to 12,787,911,852,570 and 27,613,995,073,668

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Solution

The third proportional to 12,787,911,852,570 and 27,613,995,073,668 is: 59,629,182,052,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787,911,852,570 : 27,613,995,073,668 = 27,613,995,073,668 : x
  2. Step 2: Convert to fraction form
    12,787,911,852,570/27,613,995,073,668 = 27,613,995,073,668/x
  3. Step 3: Cross multiply
    12,787,911,852,570x = 27,613,995,073,668 × 27,613,995,073,668
  4. Step 4: Simplify right side
    12,787,911,852,570x = 762,532,723,928,560,635,276,689,408
  5. Step 5: Solve for x
    x = 762,532,723,928,560,635,276,689,408/12,787,911,852,570
  6. Step 6: Final answer
    x = 59,629,182,052,526.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.