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Finding the Third Proportional to 57,527,869 and 123,593,785

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Solution

The third proportional to 57,527,869 and 123,593,785 is: 265,530,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527,869 : 123,593,785 = 123,593,785 : x
  2. Step 2: Convert to fraction form
    57,527,869/123,593,785 = 123,593,785/x
  3. Step 3: Cross multiply
    57,527,869x = 123,593,785 × 123,593,785
  4. Step 4: Simplify right side
    57,527,869x = 15,275,423,690,626,224
  5. Step 5: Solve for x
    x = 15,275,423,690,626,224/57,527,869
  6. Step 6: Final answer
    x = 265,530,845.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.