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Finding the Third Proportional to 25,664,824.69 and 57,067,775.44

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Solution

The third proportional to 25,664,824.69 and 57,067,775.44 is: 126,894,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664,824.69 : 57,067,775.44 = 57,067,775.44 : x
  2. Step 2: Convert to fraction form
    25,664,824.69/57,067,775.44 = 57,067,775.44/x
  3. Step 3: Cross multiply
    25,664,824.69x = 57,067,775.44 × 57,067,775.44
  4. Step 4: Simplify right side
    25,664,824.69x = 3,256,730,993,384,928.50
  5. Step 5: Solve for x
    x = 3,256,730,993,384,928.50/25,664,824.69
  6. Step 6: Final answer
    x = 126,894,729.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.