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Finding the Third Proportional to 10,883,356,096 and 16,322,199,716

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Solution

The third proportional to 10,883,356,096 and 16,322,199,716 is: 24,479,048,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,356,096 : 16,322,199,716 = 16,322,199,716 : x
  2. Step 2: Convert to fraction form
    10,883,356,096/16,322,199,716 = 16,322,199,716/x
  3. Step 3: Cross multiply
    10,883,356,096x = 16,322,199,716 × 16,322,199,716
  4. Step 4: Simplify right side
    10,883,356,096x = 266,414,203,568,990,486,528
  5. Step 5: Solve for x
    x = 266,414,203,568,990,486,528/10,883,356,096
  6. Step 6: Final answer
    x = 24,479,048,670.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.