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Finding the Third Proportional to 305,733,086,200.82 and 665,143,776,789.52

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Solution

The third proportional to 305,733,086,200.82 and 665,143,776,789.52 is: 1,447,066,947,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,733,086,200.82 : 665,143,776,789.52 = 665,143,776,789.52 : x
  2. Step 2: Convert to fraction form
    305,733,086,200.82/665,143,776,789.52 = 665,143,776,789.52/x
  3. Step 3: Cross multiply
    305,733,086,200.82x = 665,143,776,789.52 × 665,143,776,789.52
  4. Step 4: Simplify right side
    305,733,086,200.82x = 442,416,243,801,826,854,436,864
  5. Step 5: Solve for x
    x = 442,416,243,801,826,854,436,864/305,733,086,200.82
  6. Step 6: Final answer
    x = 1,447,066,947,511.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.