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Finding the Third Proportional to 22,099,254 and 48,212,742

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Solution

The third proportional to 22,099,254 and 48,212,742 is: 105,183,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099,254 : 48,212,742 = 48,212,742 : x
  2. Step 2: Convert to fraction form
    22,099,254/48,212,742 = 48,212,742/x
  3. Step 3: Cross multiply
    22,099,254x = 48,212,742 × 48,212,742
  4. Step 4: Simplify right side
    22,099,254x = 2,324,468,491,158,564
  5. Step 5: Solve for x
    x = 2,324,468,491,158,564/22,099,254
  6. Step 6: Final answer
    x = 105,183,120.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.