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Finding the Third Proportional to 3,179,016 and 6,812,568

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Solution

The third proportional to 3,179,016 and 6,812,568 is: 14,599,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179,016 : 6,812,568 = 6,812,568 : x
  2. Step 2: Convert to fraction form
    3,179,016/6,812,568 = 6,812,568/x
  3. Step 3: Cross multiply
    3,179,016x = 6,812,568 × 6,812,568
  4. Step 4: Simplify right side
    3,179,016x = 46,411,082,754,624
  5. Step 5: Solve for x
    x = 46,411,082,754,624/3,179,016
  6. Step 6: Final answer
    x = 14,599,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.