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Finding the Third Proportional to 2,560,668 and 5,518,316

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Solution

The third proportional to 2,560,668 and 5,518,316 is: 11,892,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,668 : 5,518,316 = 5,518,316 : x
  2. Step 2: Convert to fraction form
    2,560,668/5,518,316 = 5,518,316/x
  3. Step 3: Cross multiply
    2,560,668x = 5,518,316 × 5,518,316
  4. Step 4: Simplify right side
    2,560,668x = 30,451,811,475,856
  5. Step 5: Solve for x
    x = 30,451,811,475,856/2,560,668
  6. Step 6: Final answer
    x = 11,892,135.75

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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.