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Finding the Third Proportional to 3,141,921 and 6,843,696

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Solution

The third proportional to 3,141,921 and 6,843,696 is: 14,906,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,921 : 6,843,696 = 6,843,696 : x
  2. Step 2: Convert to fraction form
    3,141,921/6,843,696 = 6,843,696/x
  3. Step 3: Cross multiply
    3,141,921x = 6,843,696 × 6,843,696
  4. Step 4: Simplify right side
    3,141,921x = 46,836,174,940,416
  5. Step 5: Solve for x
    x = 46,836,174,940,416/3,141,921
  6. Step 6: Final answer
    x = 14,906,859.51

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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.