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Finding the Third Proportional to 52,422,396.75 and 82,056,043.50

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Solution

The third proportional to 52,422,396.75 and 82,056,043.50 is: 128,441,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422,396.75 : 82,056,043.50 = 82,056,043.50 : x
  2. Step 2: Convert to fraction form
    52,422,396.75/82,056,043.50 = 82,056,043.50/x
  3. Step 3: Cross multiply
    52,422,396.75x = 82,056,043.50 × 82,056,043.50
  4. Step 4: Simplify right side
    52,422,396.75x = 6,733,194,274,873,892
  5. Step 5: Solve for x
    x = 6,733,194,274,873,892/52,422,396.75
  6. Step 6: Final answer
    x = 128,441,175.76

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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.