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Finding the Third Proportional to 408,826,126,816 and 894,591,092,992

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Solution

The third proportional to 408,826,126,816 and 894,591,092,992 is: 1,957,539,333,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826,126,816 : 894,591,092,992 = 894,591,092,992 : x
  2. Step 2: Convert to fraction form
    408,826,126,816/894,591,092,992 = 894,591,092,992/x
  3. Step 3: Cross multiply
    408,826,126,816x = 894,591,092,992 × 894,591,092,992
  4. Step 4: Simplify right side
    408,826,126,816x = 800,293,223,660,621,228,146,688
  5. Step 5: Solve for x
    x = 800,293,223,660,621,228,146,688/408,826,126,816
  6. Step 6: Final answer
    x = 1,957,539,333,147.39

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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.