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Finding the Third Proportional to 6,297,345 and 13,042,782

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Solution

The third proportional to 6,297,345 and 13,042,782 is: 27,013,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,345 : 13,042,782 = 13,042,782 : x
  2. Step 2: Convert to fraction form
    6,297,345/13,042,782 = 13,042,782/x
  3. Step 3: Cross multiply
    6,297,345x = 13,042,782 × 13,042,782
  4. Step 4: Simplify right side
    6,297,345x = 170,114,162,299,524
  5. Step 5: Solve for x
    x = 170,114,162,299,524/6,297,345
  6. Step 6: Final answer
    x = 27,013,632.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.