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Finding the Third Proportional to 2,436,800,632 and 3,766,983,104

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Solution

The third proportional to 2,436,800,632 and 3,766,983,104 is: 5,823,275,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436,800,632 : 3,766,983,104 = 3,766,983,104 : x
  2. Step 2: Convert to fraction form
    2,436,800,632/3,766,983,104 = 3,766,983,104/x
  3. Step 3: Cross multiply
    2,436,800,632x = 3,766,983,104 × 3,766,983,104
  4. Step 4: Simplify right side
    2,436,800,632x = 14,190,161,705,821,474,816
  5. Step 5: Solve for x
    x = 14,190,161,705,821,474,816/2,436,800,632
  6. Step 6: Final answer
    x = 5,823,275,617.82

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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.