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Finding the Third Proportional to 5,351,826 and 11,436,324

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Solution

The third proportional to 5,351,826 and 11,436,324 is: 24,438,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351,826 : 11,436,324 = 11,436,324 : x
  2. Step 2: Convert to fraction form
    5,351,826/11,436,324 = 11,436,324/x
  3. Step 3: Cross multiply
    5,351,826x = 11,436,324 × 11,436,324
  4. Step 4: Simplify right side
    5,351,826x = 130,789,506,632,976
  5. Step 5: Solve for x
    x = 130,789,506,632,976/5,351,826
  6. Step 6: Final answer
    x = 24,438,295.76

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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.