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Finding the Third Proportional to 408,826,126,765.50 and 894,591,092,865

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Solution

The third proportional to 408,826,126,765.50 and 894,591,092,865 is: 1,957,539,332,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826,126,765.50 : 894,591,092,865 = 894,591,092,865 : x
  2. Step 2: Convert to fraction form
    408,826,126,765.50/894,591,092,865 = 894,591,092,865/x
  3. Step 3: Cross multiply
    408,826,126,765.50x = 894,591,092,865 × 894,591,092,865
  4. Step 4: Simplify right side
    408,826,126,765.50x = 800,293,223,433,395,043,827,712
  5. Step 5: Solve for x
    x = 800,293,223,433,395,043,827,712/408,826,126,765.50
  6. Step 6: Final answer
    x = 1,957,539,332,833.39

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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.