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Finding the Third Proportional to 6,837,286 and 14,589,876

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Solution

The third proportional to 6,837,286 and 14,589,876 is: 31,132,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,286 : 14,589,876 = 14,589,876 : x
  2. Step 2: Convert to fraction form
    6,837,286/14,589,876 = 14,589,876/x
  3. Step 3: Cross multiply
    6,837,286x = 14,589,876 × 14,589,876
  4. Step 4: Simplify right side
    6,837,286x = 212,864,481,695,376
  5. Step 5: Solve for x
    x = 212,864,481,695,376/6,837,286
  6. Step 6: Final answer
    x = 31,132,891.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.