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Finding the Third Proportional to 394,482,769,659 and 609,839,687,227.50

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Solution

The third proportional to 394,482,769,659 and 609,839,687,227.50 is: 942,764,735,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,482,769,659 : 609,839,687,227.50 = 609,839,687,227.50 : x
  2. Step 2: Convert to fraction form
    394,482,769,659/609,839,687,227.50 = 609,839,687,227.50/x
  3. Step 3: Cross multiply
    394,482,769,659x = 609,839,687,227.50 × 609,839,687,227.50
  4. Step 4: Simplify right side
    394,482,769,659x = 371,904,444,117,734,997,884,928
  5. Step 5: Solve for x
    x = 371,904,444,117,734,997,884,928/394,482,769,659
  6. Step 6: Final answer
    x = 942,764,735,806.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.