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Finding the Third Proportional to 17,524,514.25 and 38,347,348.50

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Solution

The third proportional to 17,524,514.25 and 38,347,348.50 is: 83,912,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524,514.25 : 38,347,348.50 = 38,347,348.50 : x
  2. Step 2: Convert to fraction form
    17,524,514.25/38,347,348.50 = 38,347,348.50/x
  3. Step 3: Cross multiply
    17,524,514.25x = 38,347,348.50 × 38,347,348.50
  4. Step 4: Simplify right side
    17,524,514.25x = 1,470,519,136,980,452.25
  5. Step 5: Solve for x
    x = 1,470,519,136,980,452.25/17,524,514.25
  6. Step 6: Final answer
    x = 83,912,119.67

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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.