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Finding the Third Proportional to 2,573,105 and 5,500,324

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Solution

The third proportional to 2,573,105 and 5,500,324 is: 11,757,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,105 : 5,500,324 = 5,500,324 : x
  2. Step 2: Convert to fraction form
    2,573,105/5,500,324 = 5,500,324/x
  3. Step 3: Cross multiply
    2,573,105x = 5,500,324 × 5,500,324
  4. Step 4: Simplify right side
    2,573,105x = 30,253,564,104,976
  5. Step 5: Solve for x
    x = 30,253,564,104,976/2,573,105
  6. Step 6: Final answer
    x = 11,757,609.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.