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Finding the Third Proportional to 5,347,266.50 and 11,546,795

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Solution

The third proportional to 5,347,266.50 and 11,546,795 is: 24,933,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,266.50 : 11,546,795 = 11,546,795 : x
  2. Step 2: Convert to fraction form
    5,347,266.50/11,546,795 = 11,546,795/x
  3. Step 3: Cross multiply
    5,347,266.50x = 11,546,795 × 11,546,795
  4. Step 4: Simplify right side
    5,347,266.50x = 133,328,474,772,025
  5. Step 5: Solve for x
    x = 133,328,474,772,025/5,347,266.50
  6. Step 6: Final answer
    x = 24,933,949.85

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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.