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Finding the Third Proportional to 11,730,908.25 and 24,534,378

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Solution

The third proportional to 11,730,908.25 and 24,534,378 is: 51,311,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730,908.25 : 24,534,378 = 24,534,378 : x
  2. Step 2: Convert to fraction form
    11,730,908.25/24,534,378 = 24,534,378/x
  3. Step 3: Cross multiply
    11,730,908.25x = 24,534,378 × 24,534,378
  4. Step 4: Simplify right side
    11,730,908.25x = 601,935,703,846,884
  5. Step 5: Solve for x
    x = 601,935,703,846,884/11,730,908.25
  6. Step 6: Final answer
    x = 51,311,943.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.