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Finding the Third Proportional to 8,427,826 and 18,134,738

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Solution

The third proportional to 8,427,826 and 18,134,738 is: 39,021,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427,826 : 18,134,738 = 18,134,738 : x
  2. Step 2: Convert to fraction form
    8,427,826/18,134,738 = 18,134,738/x
  3. Step 3: Cross multiply
    8,427,826x = 18,134,738 × 18,134,738
  4. Step 4: Simplify right side
    8,427,826x = 328,868,722,328,644
  5. Step 5: Solve for x
    x = 328,868,722,328,644/8,427,826
  6. Step 6: Final answer
    x = 39,021,774.10

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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.