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Finding the Third Proportional to 239,682,429 and 515,768,567

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Solution

The third proportional to 239,682,429 and 515,768,567 is: 1,109,873,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,682,429 : 515,768,567 = 515,768,567 : x
  2. Step 2: Convert to fraction form
    239,682,429/515,768,567 = 515,768,567/x
  3. Step 3: Cross multiply
    239,682,429x = 515,768,567 × 515,768,567
  4. Step 4: Simplify right side
    239,682,429x = 266,017,214,705,233,504
  5. Step 5: Solve for x
    x = 266,017,214,705,233,504/239,682,429
  6. Step 6: Final answer
    x = 1,109,873,659.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.