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Finding the Third Proportional to 8,182,782 and 12,274,173

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Solution

The third proportional to 8,182,782 and 12,274,173 is: 18,411,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182,782 : 12,274,173 = 12,274,173 : x
  2. Step 2: Convert to fraction form
    8,182,782/12,274,173 = 12,274,173/x
  3. Step 3: Cross multiply
    8,182,782x = 12,274,173 × 12,274,173
  4. Step 4: Simplify right side
    8,182,782x = 150,655,322,833,929
  5. Step 5: Solve for x
    x = 150,655,322,833,929/8,182,782
  6. Step 6: Final answer
    x = 18,411,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.