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Finding the Third Proportional to 6,481,874 and 14,130,084

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Solution

The third proportional to 6,481,874 and 14,130,084 is: 30,802,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,874 : 14,130,084 = 14,130,084 : x
  2. Step 2: Convert to fraction form
    6,481,874/14,130,084 = 14,130,084/x
  3. Step 3: Cross multiply
    6,481,874x = 14,130,084 × 14,130,084
  4. Step 4: Simplify right side
    6,481,874x = 199,659,273,847,056
  5. Step 5: Solve for x
    x = 199,659,273,847,056/6,481,874
  6. Step 6: Final answer
    x = 30,802,708.27

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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.