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Finding the Third Proportional to 5,119,814 and 10,968,286

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Solution

The third proportional to 5,119,814 and 10,968,286 is: 23,497,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119,814 : 10,968,286 = 10,968,286 : x
  2. Step 2: Convert to fraction form
    5,119,814/10,968,286 = 10,968,286/x
  3. Step 3: Cross multiply
    5,119,814x = 10,968,286 × 10,968,286
  4. Step 4: Simplify right side
    5,119,814x = 120,303,297,777,796
  5. Step 5: Solve for x
    x = 120,303,297,777,796/5,119,814
  6. Step 6: Final answer
    x = 23,497,591.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.