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Finding the Third Proportional to 52,317,771 and 122,199,048

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Solution

The third proportional to 52,317,771 and 122,199,048 is: 285,421,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317,771 : 122,199,048 = 122,199,048 : x
  2. Step 2: Convert to fraction form
    52,317,771/122,199,048 = 122,199,048/x
  3. Step 3: Cross multiply
    52,317,771x = 122,199,048 × 122,199,048
  4. Step 4: Simplify right side
    52,317,771x = 14,932,607,332,106,304
  5. Step 5: Solve for x
    x = 14,932,607,332,106,304/52,317,771
  6. Step 6: Final answer
    x = 285,421,321.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.