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Finding the Third Proportional to 6,414,795 and 13,958,901

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Solution

The third proportional to 6,414,795 and 13,958,901 is: 30,375,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,795 : 13,958,901 = 13,958,901 : x
  2. Step 2: Convert to fraction form
    6,414,795/13,958,901 = 13,958,901/x
  3. Step 3: Cross multiply
    6,414,795x = 13,958,901 × 13,958,901
  4. Step 4: Simplify right side
    6,414,795x = 194,850,917,127,801
  5. Step 5: Solve for x
    x = 194,850,917,127,801/6,414,795
  6. Step 6: Final answer
    x = 30,375,236.80

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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.