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Finding the Third Proportional to 3,049,704 and 6,413,916

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Solution

The third proportional to 3,049,704 and 6,413,916 is: 13,489,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,704 : 6,413,916 = 6,413,916 : x
  2. Step 2: Convert to fraction form
    3,049,704/6,413,916 = 6,413,916/x
  3. Step 3: Cross multiply
    3,049,704x = 6,413,916 × 6,413,916
  4. Step 4: Simplify right side
    3,049,704x = 41,138,318,455,056
  5. Step 5: Solve for x
    x = 41,138,318,455,056/3,049,704
  6. Step 6: Final answer
    x = 13,489,282.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.