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Finding the Third Proportional to 408,826,126,818 and 894,591,092,996

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Solution

The third proportional to 408,826,126,818 and 894,591,092,996 is: 1,957,539,333,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826,126,818 : 894,591,092,996 = 894,591,092,996 : x
  2. Step 2: Convert to fraction form
    408,826,126,818/894,591,092,996 = 894,591,092,996/x
  3. Step 3: Cross multiply
    408,826,126,818x = 894,591,092,996 × 894,591,092,996
  4. Step 4: Simplify right side
    408,826,126,818x = 800,293,223,667,777,985,839,104
  5. Step 5: Solve for x
    x = 800,293,223,667,777,985,839,104/408,826,126,818
  6. Step 6: Final answer
    x = 1,957,539,333,155.32

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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.