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Finding the Third Proportional to 12,787,911,852,920 and 27,613,995,074,368

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Solution

The third proportional to 12,787,911,852,920 and 27,613,995,074,368 is: 59,629,182,053,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787,911,852,920 : 27,613,995,074,368 = 27,613,995,074,368 : x
  2. Step 2: Convert to fraction form
    12,787,911,852,920/27,613,995,074,368 = 27,613,995,074,368/x
  3. Step 3: Cross multiply
    12,787,911,852,920x = 27,613,995,074,368 × 27,613,995,074,368
  4. Step 4: Simplify right side
    12,787,911,852,920x = 762,532,723,967,220,151,304,060,928
  5. Step 5: Solve for x
    x = 762,532,723,967,220,151,304,060,928/12,787,911,852,920
  6. Step 6: Final answer
    x = 59,629,182,053,917.81

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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.