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Finding the Third Proportional to 7,234,468,992 and 15,671,082,816

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Solution

The third proportional to 7,234,468,992 and 15,671,082,816 is: 33,946,214,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,468,992 : 15,671,082,816 = 15,671,082,816 : x
  2. Step 2: Convert to fraction form
    7,234,468,992/15,671,082,816 = 15,671,082,816/x
  3. Step 3: Cross multiply
    7,234,468,992x = 15,671,082,816 × 15,671,082,816
  4. Step 4: Simplify right side
    7,234,468,992x = 245,582,836,625,930,485,760
  5. Step 5: Solve for x
    x = 245,582,836,625,930,485,760/7,234,468,992
  6. Step 6: Final answer
    x = 33,946,214,559.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.