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Finding the Third Proportional to 3,699,449,586 and 5,345,065,797

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Solution

The third proportional to 3,699,449,586 and 5,345,065,797 is: 7,722,697,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,449,586 : 5,345,065,797 = 5,345,065,797 : x
  2. Step 2: Convert to fraction form
    3,699,449,586/5,345,065,797 = 5,345,065,797/x
  3. Step 3: Cross multiply
    3,699,449,586x = 5,345,065,797 × 5,345,065,797
  4. Step 4: Simplify right side
    3,699,449,586x = 28,569,728,374,259,245,056
  5. Step 5: Solve for x
    x = 28,569,728,374,259,245,056/3,699,449,586
  6. Step 6: Final answer
    x = 7,722,697,041.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.