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Finding the Third Proportional to 11,183,274 and 24,459,912

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Solution

The third proportional to 11,183,274 and 24,459,912 is: 53,498,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183,274 : 24,459,912 = 24,459,912 : x
  2. Step 2: Convert to fraction form
    11,183,274/24,459,912 = 24,459,912/x
  3. Step 3: Cross multiply
    11,183,274x = 24,459,912 × 24,459,912
  4. Step 4: Simplify right side
    11,183,274x = 598,287,295,047,744
  5. Step 5: Solve for x
    x = 598,287,295,047,744/11,183,274
  6. Step 6: Final answer
    x = 53,498,402.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.