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Finding the Third Proportional to 2,715,517,548 and 5,863,746,168

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Solution

The third proportional to 2,715,517,548 and 5,863,746,168 is: 12,661,865,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715,517,548 : 5,863,746,168 = 5,863,746,168 : x
  2. Step 2: Convert to fraction form
    2,715,517,548/5,863,746,168 = 5,863,746,168/x
  3. Step 3: Cross multiply
    2,715,517,548x = 5,863,746,168 × 5,863,746,168
  4. Step 4: Simplify right side
    2,715,517,548x = 34,383,519,122,734,686,208
  5. Step 5: Solve for x
    x = 34,383,519,122,734,686,208/2,715,517,548
  6. Step 6: Final answer
    x = 12,661,865,929.78

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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.