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Finding the Third Proportional to 5,230,767 and 11,263,069

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Solution

The third proportional to 5,230,767 and 11,263,069 is: 24,252,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,767 : 11,263,069 = 11,263,069 : x
  2. Step 2: Convert to fraction form
    5,230,767/11,263,069 = 11,263,069/x
  3. Step 3: Cross multiply
    5,230,767x = 11,263,069 × 11,263,069
  4. Step 4: Simplify right side
    5,230,767x = 126,856,723,298,761
  5. Step 5: Solve for x
    x = 126,856,723,298,761/5,230,767
  6. Step 6: Final answer
    x = 24,252,030.97

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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.