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Finding the Third Proportional to 3,257,172 and 7,156,775.25

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Solution

The third proportional to 3,257,172 and 7,156,775.25 is: 15,725,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,172 : 7,156,775.25 = 7,156,775.25 : x
  2. Step 2: Convert to fraction form
    3,257,172/7,156,775.25 = 7,156,775.25/x
  3. Step 3: Cross multiply
    3,257,172x = 7,156,775.25 × 7,156,775.25
  4. Step 4: Simplify right side
    3,257,172x = 51,219,431,979,012.56
  5. Step 5: Solve for x
    x = 51,219,431,979,012.56/3,257,172
  6. Step 6: Final answer
    x = 15,725,123.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.