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Finding the Third Proportional to 534,672,192 and 850,768,546.50

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Solution

The third proportional to 534,672,192 and 850,768,546.50 is: 1,353,739,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,192 : 850,768,546.50 = 850,768,546.50 : x
  2. Step 2: Convert to fraction form
    534,672,192/850,768,546.50 = 850,768,546.50/x
  3. Step 3: Cross multiply
    534,672,192x = 850,768,546.50 × 850,768,546.50
  4. Step 4: Simplify right side
    534,672,192x = 723,807,119,713,722,624
  5. Step 5: Solve for x
    x = 723,807,119,713,722,624/534,672,192
  6. Step 6: Final answer
    x = 1,353,739,974.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.