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Finding the Third Proportional to 7,723,169.44 and 16,642,395

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Solution

The third proportional to 7,723,169.44 and 16,642,395 is: 35,862,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723,169.44 : 16,642,395 = 16,642,395 : x
  2. Step 2: Convert to fraction form
    7,723,169.44/16,642,395 = 16,642,395/x
  3. Step 3: Cross multiply
    7,723,169.44x = 16,642,395 × 16,642,395
  4. Step 4: Simplify right side
    7,723,169.44x = 276,969,311,336,025
  5. Step 5: Solve for x
    x = 276,969,311,336,025/7,723,169.44
  6. Step 6: Final answer
    x = 35,862,130.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.