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Finding the Third Proportional to 3,722,825,864 and 5,772,369,676

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Solution

The third proportional to 3,722,825,864 and 5,772,369,676 is: 8,950,257,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722,825,864 : 5,772,369,676 = 5,772,369,676 : x
  2. Step 2: Convert to fraction form
    3,722,825,864/5,772,369,676 = 5,772,369,676/x
  3. Step 3: Cross multiply
    3,722,825,864x = 5,772,369,676 × 5,772,369,676
  4. Step 4: Simplify right side
    3,722,825,864x = 33,320,251,676,404,346,880
  5. Step 5: Solve for x
    x = 33,320,251,676,404,346,880/3,722,825,864
  6. Step 6: Final answer
    x = 8,950,257,920.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.