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Finding the Third Proportional to 5,244,025 and 11,441,258

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Solution

The third proportional to 5,244,025 and 11,441,258 is: 24,962,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244,025 : 11,441,258 = 11,441,258 : x
  2. Step 2: Convert to fraction form
    5,244,025/11,441,258 = 11,441,258/x
  3. Step 3: Cross multiply
    5,244,025x = 11,441,258 × 11,441,258
  4. Step 4: Simplify right side
    5,244,025x = 130,902,384,622,564
  5. Step 5: Solve for x
    x = 130,902,384,622,564/5,244,025
  6. Step 6: Final answer
    x = 24,962,196.90

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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.