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Finding the Third Proportional to 7,659,542.25 and 16,529,514.75

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Solution

The third proportional to 7,659,542.25 and 16,529,514.75 is: 35,671,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,542.25 : 16,529,514.75 = 16,529,514.75 : x
  2. Step 2: Convert to fraction form
    7,659,542.25/16,529,514.75 = 16,529,514.75/x
  3. Step 3: Cross multiply
    7,659,542.25x = 16,529,514.75 × 16,529,514.75
  4. Step 4: Simplify right side
    7,659,542.25x = 273,224,857,870,467.56
  5. Step 5: Solve for x
    x = 273,224,857,870,467.56/7,659,542.25
  6. Step 6: Final answer
    x = 35,671,173.15

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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.