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Finding the Third Proportional to 2,667,114 and 5,760,678

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Solution

The third proportional to 2,667,114 and 5,760,678 is: 12,442,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,114 : 5,760,678 = 5,760,678 : x
  2. Step 2: Convert to fraction form
    2,667,114/5,760,678 = 5,760,678/x
  3. Step 3: Cross multiply
    2,667,114x = 5,760,678 × 5,760,678
  4. Step 4: Simplify right side
    2,667,114x = 33,185,411,019,684
  5. Step 5: Solve for x
    x = 33,185,411,019,684/2,667,114
  6. Step 6: Final answer
    x = 12,442,441.91

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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.