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Finding the Third Proportional to 3,049,714 and 6,413,938

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Solution

The third proportional to 3,049,714 and 6,413,938 is: 13,489,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,714 : 6,413,938 = 6,413,938 : x
  2. Step 2: Convert to fraction form
    3,049,714/6,413,938 = 6,413,938/x
  3. Step 3: Cross multiply
    3,049,714x = 6,413,938 × 6,413,938
  4. Step 4: Simplify right side
    3,049,714x = 41,138,600,667,844
  5. Step 5: Solve for x
    x = 41,138,600,667,844/3,049,714
  6. Step 6: Final answer
    x = 13,489,330.69

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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.