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Finding the Third Proportional to 12,269,198.75 and 26,583,145

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Solution

The third proportional to 12,269,198.75 and 26,583,145 is: 57,596,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269,198.75 : 26,583,145 = 26,583,145 : x
  2. Step 2: Convert to fraction form
    12,269,198.75/26,583,145 = 26,583,145/x
  3. Step 3: Cross multiply
    12,269,198.75x = 26,583,145 × 26,583,145
  4. Step 4: Simplify right side
    12,269,198.75x = 706,663,598,091,025
  5. Step 5: Solve for x
    x = 706,663,598,091,025/12,269,198.75
  6. Step 6: Final answer
    x = 57,596,556.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.