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Finding the Third Proportional to 5,309,214 and 11,313,372

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Solution

The third proportional to 5,309,214 and 11,313,372 is: 24,107,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,214 : 11,313,372 = 11,313,372 : x
  2. Step 2: Convert to fraction form
    5,309,214/11,313,372 = 11,313,372/x
  3. Step 3: Cross multiply
    5,309,214x = 11,313,372 × 11,313,372
  4. Step 4: Simplify right side
    5,309,214x = 127,992,386,010,384
  5. Step 5: Solve for x
    x = 127,992,386,010,384/5,309,214
  6. Step 6: Final answer
    x = 24,107,595.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.