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Finding the Third Proportional to 52,499,864 and 82,169,296

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Solution

The third proportional to 52,499,864 and 82,169,296 is: 128,605,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,499,864 : 82,169,296 = 82,169,296 : x
  2. Step 2: Convert to fraction form
    52,499,864/82,169,296 = 82,169,296/x
  3. Step 3: Cross multiply
    52,499,864x = 82,169,296 × 82,169,296
  4. Step 4: Simplify right side
    52,499,864x = 6,751,793,205,135,616
  5. Step 5: Solve for x
    x = 6,751,793,205,135,616/52,499,864
  6. Step 6: Final answer
    x = 128,605,918.01

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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.