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Finding the Third Proportional to 2,472,908.50 and 5,211,497

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Solution

The third proportional to 2,472,908.50 and 5,211,497 is: 10,982,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,908.50 : 5,211,497 = 5,211,497 : x
  2. Step 2: Convert to fraction form
    2,472,908.50/5,211,497 = 5,211,497/x
  3. Step 3: Cross multiply
    2,472,908.50x = 5,211,497 × 5,211,497
  4. Step 4: Simplify right side
    2,472,908.50x = 27,159,700,981,009
  5. Step 5: Solve for x
    x = 27,159,700,981,009/2,472,908.50
  6. Step 6: Final answer
    x = 10,982,897.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.