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Finding the Third Proportional to 52,422,399.75 and 82,056,048

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Solution

The third proportional to 52,422,399.75 and 82,056,048 is: 128,441,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422,399.75 : 82,056,048 = 82,056,048 : x
  2. Step 2: Convert to fraction form
    52,422,399.75/82,056,048 = 82,056,048/x
  3. Step 3: Cross multiply
    52,422,399.75x = 82,056,048 × 82,056,048
  4. Step 4: Simplify right side
    52,422,399.75x = 6,733,195,013,378,304
  5. Step 5: Solve for x
    x = 6,733,195,013,378,304/52,422,399.75
  6. Step 6: Final answer
    x = 128,441,182.50

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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.