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Finding the Third Proportional to 52,422,404.25 and 82,056,054.75

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Solution

The third proportional to 52,422,404.25 and 82,056,054.75 is: 128,441,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422,404.25 : 82,056,054.75 = 82,056,054.75 : x
  2. Step 2: Convert to fraction form
    52,422,404.25/82,056,054.75 = 82,056,054.75/x
  3. Step 3: Cross multiply
    52,422,404.25x = 82,056,054.75 × 82,056,054.75
  4. Step 4: Simplify right side
    52,422,404.25x = 6,733,196,121,134,998
  5. Step 5: Solve for x
    x = 6,733,196,121,134,998/52,422,404.25
  6. Step 6: Final answer
    x = 128,441,192.61

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