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Finding the Third Proportional to 353,542,242.50 and 768,285,493

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Solution

The third proportional to 353,542,242.50 and 768,285,493 is: 1,669,567,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,542,242.50 : 768,285,493 = 768,285,493 : x
  2. Step 2: Convert to fraction form
    353,542,242.50/768,285,493 = 768,285,493/x
  3. Step 3: Cross multiply
    353,542,242.50x = 768,285,493 × 768,285,493
  4. Step 4: Simplify right side
    353,542,242.50x = 590,262,598,754,253,056
  5. Step 5: Solve for x
    x = 590,262,598,754,253,056/353,542,242.50
  6. Step 6: Final answer
    x = 1,669,567,389.12

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