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Finding the Third Proportional to 12,182,584 and 27,088,415

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Solution

The third proportional to 12,182,584 and 27,088,415 is: 60,232,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182,584 : 27,088,415 = 27,088,415 : x
  2. Step 2: Convert to fraction form
    12,182,584/27,088,415 = 27,088,415/x
  3. Step 3: Cross multiply
    12,182,584x = 27,088,415 × 27,088,415
  4. Step 4: Simplify right side
    12,182,584x = 733,782,227,212,225
  5. Step 5: Solve for x
    x = 733,782,227,212,225/12,182,584
  6. Step 6: Final answer
    x = 60,232,067.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.