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Finding the Third Proportional to 5,311,386 and 11,396,850

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Solution

The third proportional to 5,311,386 and 11,396,850 is: 24,454,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311,386 : 11,396,850 = 11,396,850 : x
  2. Step 2: Convert to fraction form
    5,311,386/11,396,850 = 11,396,850/x
  3. Step 3: Cross multiply
    5,311,386x = 11,396,850 × 11,396,850
  4. Step 4: Simplify right side
    5,311,386x = 129,888,189,922,500
  5. Step 5: Solve for x
    x = 129,888,189,922,500/5,311,386
  6. Step 6: Final answer
    x = 24,454,669.63

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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.