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Finding the Third Proportional to 5,238,429.75 and 7,825,383

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Solution

The third proportional to 5,238,429.75 and 7,825,383 is: 11,689,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,429.75 : 7,825,383 = 7,825,383 : x
  2. Step 2: Convert to fraction form
    5,238,429.75/7,825,383 = 7,825,383/x
  3. Step 3: Cross multiply
    5,238,429.75x = 7,825,383 × 7,825,383
  4. Step 4: Simplify right side
    5,238,429.75x = 61,236,619,096,689
  5. Step 5: Solve for x
    x = 61,236,619,096,689/5,238,429.75
  6. Step 6: Final answer
    x = 11,689,880.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.