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Finding the Third Proportional to 305,733,086,200.84 and 665,143,776,789.56

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Solution

The third proportional to 305,733,086,200.84 and 665,143,776,789.56 is: 1,447,066,947,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,733,086,200.84 : 665,143,776,789.56 = 665,143,776,789.56 : x
  2. Step 2: Convert to fraction form
    305,733,086,200.84/665,143,776,789.56 = 665,143,776,789.56/x
  3. Step 3: Cross multiply
    305,733,086,200.84x = 665,143,776,789.56 × 665,143,776,789.56
  4. Step 4: Simplify right side
    305,733,086,200.84x = 442,416,243,801,880,071,766,016
  5. Step 5: Solve for x
    x = 442,416,243,801,880,071,766,016/305,733,086,200.84
  6. Step 6: Final answer
    x = 1,447,066,947,511.37

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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.