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Finding the Third Proportional to 12,682,910 and 27,159,432

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Solution

The third proportional to 12,682,910 and 27,159,432 is: 58,159,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,910 : 27,159,432 = 27,159,432 : x
  2. Step 2: Convert to fraction form
    12,682,910/27,159,432 = 27,159,432/x
  3. Step 3: Cross multiply
    12,682,910x = 27,159,432 × 27,159,432
  4. Step 4: Simplify right side
    12,682,910x = 737,634,746,562,624
  5. Step 5: Solve for x
    x = 737,634,746,562,624/12,682,910
  6. Step 6: Final answer
    x = 58,159,739.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.