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Finding the Third Proportional to 5,245,526 and 11,288,214

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Solution

The third proportional to 5,245,526 and 11,288,214 is: 24,291,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245,526 : 11,288,214 = 11,288,214 : x
  2. Step 2: Convert to fraction form
    5,245,526/11,288,214 = 11,288,214/x
  3. Step 3: Cross multiply
    5,245,526x = 11,288,214 × 11,288,214
  4. Step 4: Simplify right side
    5,245,526x = 127,423,775,309,796
  5. Step 5: Solve for x
    x = 127,423,775,309,796/5,245,526
  6. Step 6: Final answer
    x = 24,291,896.62

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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.