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Finding the Third Proportional to 52,499,839 and 82,169,255

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Solution

The third proportional to 52,499,839 and 82,169,255 is: 128,605,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,499,839 : 82,169,255 = 82,169,255 : x
  2. Step 2: Convert to fraction form
    52,499,839/82,169,255 = 82,169,255/x
  3. Step 3: Cross multiply
    52,499,839x = 82,169,255 × 82,169,255
  4. Step 4: Simplify right side
    52,499,839x = 6,751,786,467,255,025
  5. Step 5: Solve for x
    x = 6,751,786,467,255,025/52,499,839
  6. Step 6: Final answer
    x = 128,605,850.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.