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Finding the Third Proportional to 11,334,198 and 24,459,522

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Solution

The third proportional to 11,334,198 and 24,459,522 is: 52,784,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334,198 : 24,459,522 = 24,459,522 : x
  2. Step 2: Convert to fraction form
    11,334,198/24,459,522 = 24,459,522/x
  3. Step 3: Cross multiply
    11,334,198x = 24,459,522 × 24,459,522
  4. Step 4: Simplify right side
    11,334,198x = 598,268,216,468,484
  5. Step 5: Solve for x
    x = 598,268,216,468,484/11,334,198
  6. Step 6: Final answer
    x = 52,784,344.91

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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.