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Finding the Third Proportional to 408,826,126,791 and 894,591,092,916

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Solution

The third proportional to 408,826,126,791 and 894,591,092,916 is: 1,957,539,332,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826,126,791 : 894,591,092,916 = 894,591,092,916 : x
  2. Step 2: Convert to fraction form
    408,826,126,791/894,591,092,916 = 894,591,092,916/x
  3. Step 3: Cross multiply
    408,826,126,791x = 894,591,092,916 × 894,591,092,916
  4. Step 4: Simplify right side
    408,826,126,791x = 800,293,223,524,643,368,861,696
  5. Step 5: Solve for x
    x = 800,293,223,524,643,368,861,696/408,826,126,791
  6. Step 6: Final answer
    x = 1,957,539,332,934.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.