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Finding the Third Proportional to 2,686,668 and 5,676,576

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Solution

The third proportional to 2,686,668 and 5,676,576 is: 11,993,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686,668 : 5,676,576 = 5,676,576 : x
  2. Step 2: Convert to fraction form
    2,686,668/5,676,576 = 5,676,576/x
  3. Step 3: Cross multiply
    2,686,668x = 5,676,576 × 5,676,576
  4. Step 4: Simplify right side
    2,686,668x = 32,223,515,083,776
  5. Step 5: Solve for x
    x = 32,223,515,083,776/2,686,668
  6. Step 6: Final answer
    x = 11,993,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.