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Finding the Third Proportional to 364,023,536 and 515,082,144

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Solution

The third proportional to 364,023,536 and 515,082,144 is: 728,825,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023,536 : 515,082,144 = 515,082,144 : x
  2. Step 2: Convert to fraction form
    364,023,536/515,082,144 = 515,082,144/x
  3. Step 3: Cross multiply
    364,023,536x = 515,082,144 × 515,082,144
  4. Step 4: Simplify right side
    364,023,536x = 265,309,615,067,636,736
  5. Step 5: Solve for x
    x = 265,309,615,067,636,736/364,023,536
  6. Step 6: Final answer
    x = 728,825,443.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.