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Finding the Third Proportional to 3,110,983 and 6,470,285

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Solution

The third proportional to 3,110,983 and 6,470,285 is: 13,457,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,983 : 6,470,285 = 6,470,285 : x
  2. Step 2: Convert to fraction form
    3,110,983/6,470,285 = 6,470,285/x
  3. Step 3: Cross multiply
    3,110,983x = 6,470,285 × 6,470,285
  4. Step 4: Simplify right side
    3,110,983x = 41,864,587,981,225
  5. Step 5: Solve for x
    x = 41,864,587,981,225/3,110,983
  6. Step 6: Final answer
    x = 13,457,028.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.