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Finding the Third Proportional to 533,632,954 and 1,156,339,016

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Solution

The third proportional to 533,632,954 and 1,156,339,016 is: 2,505,692,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,632,954 : 1,156,339,016 = 1,156,339,016 : x
  2. Step 2: Convert to fraction form
    533,632,954/1,156,339,016 = 1,156,339,016/x
  3. Step 3: Cross multiply
    533,632,954x = 1,156,339,016 × 1,156,339,016
  4. Step 4: Simplify right side
    533,632,954x = 1,337,119,919,923,848,192
  5. Step 5: Solve for x
    x = 1,337,119,919,923,848,192/533,632,954
  6. Step 6: Final answer
    x = 2,505,692,180.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.