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Finding the Third Proportional to 7,930,605,968 and 11,998,074,336

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Solution

The third proportional to 7,930,605,968 and 11,998,074,336 is: 18,151,675,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930,605,968 : 11,998,074,336 = 11,998,074,336 : x
  2. Step 2: Convert to fraction form
    7,930,605,968/11,998,074,336 = 11,998,074,336/x
  3. Step 3: Cross multiply
    7,930,605,968x = 11,998,074,336 × 11,998,074,336
  4. Step 4: Simplify right side
    7,930,605,968x = 143,953,787,772,181,839,872
  5. Step 5: Solve for x
    x = 143,953,787,772,181,839,872/7,930,605,968
  6. Step 6: Final answer
    x = 18,151,675,717.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.