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Finding the Third Proportional to 3,788,351,619,072 and 8,839,792,582,080

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Solution

The third proportional to 3,788,351,619,072 and 8,839,792,582,080 is: 20,626,895,481,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,351,619,072 : 8,839,792,582,080 = 8,839,792,582,080 : x
  2. Step 2: Convert to fraction form
    3,788,351,619,072/8,839,792,582,080 = 8,839,792,582,080/x
  3. Step 3: Cross multiply
    3,788,351,619,072x = 8,839,792,582,080 × 8,839,792,582,080
  4. Step 4: Simplify right side
    3,788,351,619,072x = 78,141,932,894,196,591,367,290,880
  5. Step 5: Solve for x
    x = 78,141,932,894,196,591,367,290,880/3,788,351,619,072
  6. Step 6: Final answer
    x = 20,626,895,481,612.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.