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Finding the Third Proportional to 2,436,800,611 and 3,766,983,075

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Solution

The third proportional to 2,436,800,611 and 3,766,983,075 is: 5,823,275,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436,800,611 : 3,766,983,075 = 3,766,983,075 : x
  2. Step 2: Convert to fraction form
    2,436,800,611/3,766,983,075 = 3,766,983,075/x
  3. Step 3: Cross multiply
    2,436,800,611x = 3,766,983,075 × 3,766,983,075
  4. Step 4: Simplify right side
    2,436,800,611x = 14,190,161,487,336,456,192
  5. Step 5: Solve for x
    x = 14,190,161,487,336,456,192/2,436,800,611
  6. Step 6: Final answer
    x = 5,823,275,578.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.