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Finding the Third Proportional to 8,182,784 and 12,274,176

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Solution

The third proportional to 8,182,784 and 12,274,176 is: 18,411,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182,784 : 12,274,176 = 12,274,176 : x
  2. Step 2: Convert to fraction form
    8,182,784/12,274,176 = 12,274,176/x
  3. Step 3: Cross multiply
    8,182,784x = 12,274,176 × 12,274,176
  4. Step 4: Simplify right side
    8,182,784x = 150,655,396,478,976
  5. Step 5: Solve for x
    x = 150,655,396,478,976/8,182,784
  6. Step 6: Final answer
    x = 18,411,264

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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.