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Finding the Third Proportional to 408,826,126,755 and 894,591,092,832.75

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Solution

The third proportional to 408,826,126,755 and 894,591,092,832.75 is: 1,957,539,332,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826,126,755 : 894,591,092,832.75 = 894,591,092,832.75 : x
  2. Step 2: Convert to fraction form
    408,826,126,755/894,591,092,832.75 = 894,591,092,832.75/x
  3. Step 3: Cross multiply
    408,826,126,755x = 894,591,092,832.75 × 894,591,092,832.75
  4. Step 4: Simplify right side
    408,826,126,755x = 800,293,223,375,693,903,036,416
  5. Step 5: Solve for x
    x = 800,293,223,375,693,903,036,416/408,826,126,755
  6. Step 6: Final answer
    x = 1,957,539,332,742.53

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