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Finding the Third Proportional to 6,923,844 and 16,027,463

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Solution

The third proportional to 6,923,844 and 16,027,463 is: 37,100,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923,844 : 16,027,463 = 16,027,463 : x
  2. Step 2: Convert to fraction form
    6,923,844/16,027,463 = 16,027,463/x
  3. Step 3: Cross multiply
    6,923,844x = 16,027,463 × 16,027,463
  4. Step 4: Simplify right side
    6,923,844x = 256,879,570,216,369
  5. Step 5: Solve for x
    x = 256,879,570,216,369/6,923,844
  6. Step 6: Final answer
    x = 37,100,716.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.