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Finding the Third Proportional to 6,835,686 and 14,752,164

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Solution

The third proportional to 6,835,686 and 14,752,164 is: 31,836,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,686 : 14,752,164 = 14,752,164 : x
  2. Step 2: Convert to fraction form
    6,835,686/14,752,164 = 14,752,164/x
  3. Step 3: Cross multiply
    6,835,686x = 14,752,164 × 14,752,164
  4. Step 4: Simplify right side
    6,835,686x = 217,626,342,682,896
  5. Step 5: Solve for x
    x = 217,626,342,682,896/6,835,686
  6. Step 6: Final answer
    x = 31,836,796.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.