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Finding the Third Proportional to 5,338,560 and 8,273,237.25

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Solution

The third proportional to 5,338,560 and 8,273,237.25 is: 12,821,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,560 : 8,273,237.25 = 8,273,237.25 : x
  2. Step 2: Convert to fraction form
    5,338,560/8,273,237.25 = 8,273,237.25/x
  3. Step 3: Cross multiply
    5,338,560x = 8,273,237.25 × 8,273,237.25
  4. Step 4: Simplify right side
    5,338,560x = 68,446,454,594,787.56
  5. Step 5: Solve for x
    x = 68,446,454,594,787.56/5,338,560
  6. Step 6: Final answer
    x = 12,821,145.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.