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Finding the Third Proportional to 6,340,977 and 14,134,218

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Solution

The third proportional to 6,340,977 and 14,134,218 is: 31,505,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340,977 : 14,134,218 = 14,134,218 : x
  2. Step 2: Convert to fraction form
    6,340,977/14,134,218 = 14,134,218/x
  3. Step 3: Cross multiply
    6,340,977x = 14,134,218 × 14,134,218
  4. Step 4: Simplify right side
    6,340,977x = 199,776,118,471,524
  5. Step 5: Solve for x
    x = 199,776,118,471,524/6,340,977
  6. Step 6: Final answer
    x = 31,505,573.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.