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Finding the Third Proportional to 14,206,423 and 30,682,826

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Solution

The third proportional to 14,206,423 and 30,682,826 is: 66,268,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206,423 : 30,682,826 = 30,682,826 : x
  2. Step 2: Convert to fraction form
    14,206,423/30,682,826 = 30,682,826/x
  3. Step 3: Cross multiply
    14,206,423x = 30,682,826 × 30,682,826
  4. Step 4: Simplify right side
    14,206,423x = 941,435,811,346,276
  5. Step 5: Solve for x
    x = 941,435,811,346,276/14,206,423
  6. Step 6: Final answer
    x = 66,268,321.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.