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Finding the Third Proportional to 3,788,351,619,075 and 8,839,792,582,087.50

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Solution

The third proportional to 3,788,351,619,075 and 8,839,792,582,087.50 is: 20,626,895,481,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,351,619,075 : 8,839,792,582,087.50 = 8,839,792,582,087.50 : x
  2. Step 2: Convert to fraction form
    3,788,351,619,075/8,839,792,582,087.50 = 8,839,792,582,087.50/x
  3. Step 3: Cross multiply
    3,788,351,619,075x = 8,839,792,582,087.50 × 8,839,792,582,087.50
  4. Step 4: Simplify right side
    3,788,351,619,075x = 78,141,932,894,329,185,597,652,992
  5. Step 5: Solve for x
    x = 78,141,932,894,329,185,597,652,992/3,788,351,619,075
  6. Step 6: Final answer
    x = 20,626,895,481,631.42

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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.