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Finding the Third Proportional to 3,071,378 and 6,682,944

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Solution

The third proportional to 3,071,378 and 6,682,944 is: 14,541,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,378 : 6,682,944 = 6,682,944 : x
  2. Step 2: Convert to fraction form
    3,071,378/6,682,944 = 6,682,944/x
  3. Step 3: Cross multiply
    3,071,378x = 6,682,944 × 6,682,944
  4. Step 4: Simplify right side
    3,071,378x = 44,661,740,507,136
  5. Step 5: Solve for x
    x = 44,661,740,507,136/3,071,378
  6. Step 6: Final answer
    x = 14,541,271.22

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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.