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Finding the Third Proportional to 7,968,614,723 and 11,909,002,749

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Solution

The third proportional to 7,968,614,723 and 11,909,002,749 is: 17,797,867,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,614,723 : 11,909,002,749 = 11,909,002,749 : x
  2. Step 2: Convert to fraction form
    7,968,614,723/11,909,002,749 = 11,909,002,749/x
  3. Step 3: Cross multiply
    7,968,614,723x = 11,909,002,749 × 11,909,002,749
  4. Step 4: Simplify right side
    7,968,614,723x = 141,824,346,475,689,558,016
  5. Step 5: Solve for x
    x = 141,824,346,475,689,558,016/7,968,614,723
  6. Step 6: Final answer
    x = 17,797,867,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.