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Finding the Third Proportional to 6,481,647 and 13,968,159.38

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Solution

The third proportional to 6,481,647 and 13,968,159.38 is: 30,101,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,647 : 13,968,159.38 = 13,968,159.38 : x
  2. Step 2: Convert to fraction form
    6,481,647/13,968,159.38 = 13,968,159.38/x
  3. Step 3: Cross multiply
    6,481,647x = 13,968,159.38 × 13,968,159.38
  4. Step 4: Simplify right side
    6,481,647x = 195,109,476,325,400.38
  5. Step 5: Solve for x
    x = 195,109,476,325,400.38/6,481,647
  6. Step 6: Final answer
    x = 30,101,836.20

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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.