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Finding the Third Proportional to 6,384,576 and 13,782,048

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Solution

The third proportional to 6,384,576 and 13,782,048 is: 29,750,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,576 : 13,782,048 = 13,782,048 : x
  2. Step 2: Convert to fraction form
    6,384,576/13,782,048 = 13,782,048/x
  3. Step 3: Cross multiply
    6,384,576x = 13,782,048 × 13,782,048
  4. Step 4: Simplify right side
    6,384,576x = 189,944,847,074,304
  5. Step 5: Solve for x
    x = 189,944,847,074,304/6,384,576
  6. Step 6: Final answer
    x = 29,750,581.26

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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.