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Finding the Third Proportional to 6,481,653 and 13,968,171

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Solution

The third proportional to 6,481,653 and 13,968,171 is: 30,101,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,653 : 13,968,171 = 13,968,171 : x
  2. Step 2: Convert to fraction form
    6,481,653/13,968,171 = 13,968,171/x
  3. Step 3: Cross multiply
    6,481,653x = 13,968,171 × 13,968,171
  4. Step 4: Simplify right side
    6,481,653x = 195,109,801,085,241
  5. Step 5: Solve for x
    x = 195,109,801,085,241/6,481,653
  6. Step 6: Final answer
    x = 30,101,858.44

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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.