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Finding the Third Proportional to 2,850,910 and 6,203,742

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Solution

The third proportional to 2,850,910 and 6,203,742 is: 13,499,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850,910 : 6,203,742 = 6,203,742 : x
  2. Step 2: Convert to fraction form
    2,850,910/6,203,742 = 6,203,742/x
  3. Step 3: Cross multiply
    2,850,910x = 6,203,742 × 6,203,742
  4. Step 4: Simplify right side
    2,850,910x = 38,486,414,802,564
  5. Step 5: Solve for x
    x = 38,486,414,802,564/2,850,910
  6. Step 6: Final answer
    x = 13,499,694.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.