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Finding the Third Proportional to 8,232,879 and 17,707,342.50

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Solution

The third proportional to 8,232,879 and 17,707,342.50 is: 38,085,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232,879 : 17,707,342.50 = 17,707,342.50 : x
  2. Step 2: Convert to fraction form
    8,232,879/17,707,342.50 = 17,707,342.50/x
  3. Step 3: Cross multiply
    8,232,879x = 17,707,342.50 × 17,707,342.50
  4. Step 4: Simplify right side
    8,232,879x = 313,549,978,412,306.25
  5. Step 5: Solve for x
    x = 313,549,978,412,306.25/8,232,879
  6. Step 6: Final answer
    x = 38,085,094.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.