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Finding the Third Proportional to 416,230,915,881 and 662,305,211,500.50

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Solution

The third proportional to 416,230,915,881 and 662,305,211,500.50 is: 1,053,857,790,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230,915,881 : 662,305,211,500.50 = 662,305,211,500.50 : x
  2. Step 2: Convert to fraction form
    416,230,915,881/662,305,211,500.50 = 662,305,211,500.50/x
  3. Step 3: Cross multiply
    416,230,915,881x = 662,305,211,500.50 × 662,305,211,500.50
  4. Step 4: Simplify right side
    416,230,915,881x = 438,648,193,180,722,014,453,760
  5. Step 5: Solve for x
    x = 438,648,193,180,722,014,453,760/416,230,915,881
  6. Step 6: Final answer
    x = 1,053,857,790,097.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.