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Finding the Third Proportional to 7,549,468,578 and 11,324,203,839

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Solution

The third proportional to 7,549,468,578 and 11,324,203,839 is: 16,986,307,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549,468,578 : 11,324,203,839 = 11,324,203,839 : x
  2. Step 2: Convert to fraction form
    7,549,468,578/11,324,203,839 = 11,324,203,839/x
  3. Step 3: Cross multiply
    7,549,468,578x = 11,324,203,839 × 11,324,203,839
  4. Step 4: Simplify right side
    7,549,468,578x = 128,237,592,587,222,335,488
  5. Step 5: Solve for x
    x = 128,237,592,587,222,335,488/7,549,468,578
  6. Step 6: Final answer
    x = 16,986,307,216.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.