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Finding the Third Proportional to 3,141,918 and 6,843,690

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Solution

The third proportional to 3,141,918 and 6,843,690 is: 14,906,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,918 : 6,843,690 = 6,843,690 : x
  2. Step 2: Convert to fraction form
    3,141,918/6,843,690 = 6,843,690/x
  3. Step 3: Cross multiply
    3,141,918x = 6,843,690 × 6,843,690
  4. Step 4: Simplify right side
    3,141,918x = 46,836,092,816,100
  5. Step 5: Solve for x
    x = 46,836,092,816,100/3,141,918
  6. Step 6: Final answer
    x = 14,906,847.61

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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.