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Finding the Third Proportional to 218,933,936 and 472,579,936

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Solution

The third proportional to 218,933,936 and 472,579,936 is: 1,020,087,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,933,936 : 472,579,936 = 472,579,936 : x
  2. Step 2: Convert to fraction form
    218,933,936/472,579,936 = 472,579,936/x
  3. Step 3: Cross multiply
    218,933,936x = 472,579,936 × 472,579,936
  4. Step 4: Simplify right side
    218,933,936x = 223,331,795,909,764,096
  5. Step 5: Solve for x
    x = 223,331,795,909,764,096/218,933,936
  6. Step 6: Final answer
    x = 1,020,087,611.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.