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Finding the Third Proportional to 10,704,628.50 and 17,236,086

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Solution

The third proportional to 10,704,628.50 and 17,236,086 is: 27,752,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704,628.50 : 17,236,086 = 17,236,086 : x
  2. Step 2: Convert to fraction form
    10,704,628.50/17,236,086 = 17,236,086/x
  3. Step 3: Cross multiply
    10,704,628.50x = 17,236,086 × 17,236,086
  4. Step 4: Simplify right side
    10,704,628.50x = 297,082,660,599,396
  5. Step 5: Solve for x
    x = 297,082,660,599,396/10,704,628.50
  6. Step 6: Final answer
    x = 27,752,729.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.