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Finding the Third Proportional to 5,238,425.25 and 7,825,376.25

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Solution

The third proportional to 5,238,425.25 and 7,825,376.25 is: 11,689,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,425.25 : 7,825,376.25 = 7,825,376.25 : x
  2. Step 2: Convert to fraction form
    5,238,425.25/7,825,376.25 = 7,825,376.25/x
  3. Step 3: Cross multiply
    5,238,425.25x = 7,825,376.25 × 7,825,376.25
  4. Step 4: Simplify right side
    5,238,425.25x = 61,236,513,454,064.06
  5. Step 5: Solve for x
    x = 61,236,513,454,064.06/5,238,425.25
  6. Step 6: Final answer
    x = 11,689,870.63

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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.