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Finding the Third Proportional to 5,238,426.25 and 7,825,377.75

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Solution

The third proportional to 5,238,426.25 and 7,825,377.75 is: 11,689,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,426.25 : 7,825,377.75 = 7,825,377.75 : x
  2. Step 2: Convert to fraction form
    5,238,426.25/7,825,377.75 = 7,825,377.75/x
  3. Step 3: Cross multiply
    5,238,426.25x = 7,825,377.75 × 7,825,377.75
  4. Step 4: Simplify right side
    5,238,426.25x = 61,236,536,930,195.06
  5. Step 5: Solve for x
    x = 61,236,536,930,195.06/5,238,426.25
  6. Step 6: Final answer
    x = 11,689,872.88

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