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Finding the Third Proportional to 339,565,704 and 727,542,768

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Solution

The third proportional to 339,565,704 and 727,542,768 is: 1,558,810,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,565,704 : 727,542,768 = 727,542,768 : x
  2. Step 2: Convert to fraction form
    339,565,704/727,542,768 = 727,542,768/x
  3. Step 3: Cross multiply
    339,565,704x = 727,542,768 × 727,542,768
  4. Step 4: Simplify right side
    339,565,704x = 529,318,479,269,101,824
  5. Step 5: Solve for x
    x = 529,318,479,269,101,824/339,565,704
  6. Step 6: Final answer
    x = 1,558,810,189.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.