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Finding the Third Proportional to 2,474,434.83 and 5,175,114.05

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Solution

The third proportional to 2,474,434.83 and 5,175,114.05 is: 10,823,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,434.83 : 5,175,114.05 = 5,175,114.05 : x
  2. Step 2: Convert to fraction form
    2,474,434.83/5,175,114.05 = 5,175,114.05/x
  3. Step 3: Cross multiply
    2,474,434.83x = 5,175,114.05 × 5,175,114.05
  4. Step 4: Simplify right side
    2,474,434.83x = 26,781,805,398,162.94
  5. Step 5: Solve for x
    x = 26,781,805,398,162.94/2,474,434.83
  6. Step 6: Final answer
    x = 10,823,403.02

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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.