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Finding the Third Proportional to 222,335,762 and 482,945,826

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Solution

The third proportional to 222,335,762 and 482,945,826 is: 1,049,029,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,335,762 : 482,945,826 = 482,945,826 : x
  2. Step 2: Convert to fraction form
    222,335,762/482,945,826 = 482,945,826/x
  3. Step 3: Cross multiply
    222,335,762x = 482,945,826 × 482,945,826
  4. Step 4: Simplify right side
    222,335,762x = 233,236,670,850,822,272
  5. Step 5: Solve for x
    x = 233,236,670,850,822,272/222,335,762
  6. Step 6: Final answer
    x = 1,049,029,039.47

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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.