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Finding the Third Proportional to 5,230,769 and 11,263,073

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Solution

The third proportional to 5,230,769 and 11,263,073 is: 24,252,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,769 : 11,263,073 = 11,263,073 : x
  2. Step 2: Convert to fraction form
    5,230,769/11,263,073 = 11,263,073/x
  3. Step 3: Cross multiply
    5,230,769x = 11,263,073 × 11,263,073
  4. Step 4: Simplify right side
    5,230,769x = 126,856,813,403,329
  5. Step 5: Solve for x
    x = 126,856,813,403,329/5,230,769
  6. Step 6: Final answer
    x = 24,252,038.93

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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.