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Finding the Third Proportional to 133,526,800 and 284,690,652

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Solution

The third proportional to 133,526,800 and 284,690,652 is: 606,985,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,526,800 : 284,690,652 = 284,690,652 : x
  2. Step 2: Convert to fraction form
    133,526,800/284,690,652 = 284,690,652/x
  3. Step 3: Cross multiply
    133,526,800x = 284,690,652 × 284,690,652
  4. Step 4: Simplify right side
    133,526,800x = 81,048,767,336,185,104
  5. Step 5: Solve for x
    x = 81,048,767,336,185,104/133,526,800
  6. Step 6: Final answer
    x = 606,985,019.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.