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Finding the Third Proportional to 3,798,880,929 and 8,251,717,824

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Solution

The third proportional to 3,798,880,929 and 8,251,717,824 is: 17,923,922,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798,880,929 : 8,251,717,824 = 8,251,717,824 : x
  2. Step 2: Convert to fraction form
    3,798,880,929/8,251,717,824 = 8,251,717,824/x
  3. Step 3: Cross multiply
    3,798,880,929x = 8,251,717,824 × 8,251,717,824
  4. Step 4: Simplify right side
    3,798,880,929x = 68,090,847,046,919,290,880
  5. Step 5: Solve for x
    x = 68,090,847,046,919,290,880/3,798,880,929
  6. Step 6: Final answer
    x = 17,923,922,418.08

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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.