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Finding the Third Proportional to 2,940,686 and 6,369,910

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Solution

The third proportional to 2,940,686 and 6,369,910 is: 13,798,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,686 : 6,369,910 = 6,369,910 : x
  2. Step 2: Convert to fraction form
    2,940,686/6,369,910 = 6,369,910/x
  3. Step 3: Cross multiply
    2,940,686x = 6,369,910 × 6,369,910
  4. Step 4: Simplify right side
    2,940,686x = 40,575,753,408,100
  5. Step 5: Solve for x
    x = 40,575,753,408,100/2,940,686
  6. Step 6: Final answer
    x = 13,798,057.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.