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Finding the Third Proportional to 2,540,544.75 and 5,449,477.50

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Solution

The third proportional to 2,540,544.75 and 5,449,477.50 is: 11,689,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,544.75 : 5,449,477.50 = 5,449,477.50 : x
  2. Step 2: Convert to fraction form
    2,540,544.75/5,449,477.50 = 5,449,477.50/x
  3. Step 3: Cross multiply
    2,540,544.75x = 5,449,477.50 × 5,449,477.50
  4. Step 4: Simplify right side
    2,540,544.75x = 29,696,805,023,006.25
  5. Step 5: Solve for x
    x = 29,696,805,023,006.25/2,540,544.75
  6. Step 6: Final answer
    x = 11,689,148.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.