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Finding the Third Proportional to 5,800,974 and 12,441,324

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Solution

The third proportional to 5,800,974 and 12,441,324 is: 26,682,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800,974 : 12,441,324 = 12,441,324 : x
  2. Step 2: Convert to fraction form
    5,800,974/12,441,324 = 12,441,324/x
  3. Step 3: Cross multiply
    5,800,974x = 12,441,324 × 12,441,324
  4. Step 4: Simplify right side
    5,800,974x = 154,786,542,872,976
  5. Step 5: Solve for x
    x = 154,786,542,872,976/5,800,974
  6. Step 6: Final answer
    x = 26,682,854.10

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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.