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Finding the Third Proportional to 11,586,522 and 17,025,067.50

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Solution

The third proportional to 11,586,522 and 17,025,067.50 is: 25,016,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,522 : 17,025,067.50 = 17,025,067.50 : x
  2. Step 2: Convert to fraction form
    11,586,522/17,025,067.50 = 17,025,067.50/x
  3. Step 3: Cross multiply
    11,586,522x = 17,025,067.50 × 17,025,067.50
  4. Step 4: Simplify right side
    11,586,522x = 289,852,923,379,556.25
  5. Step 5: Solve for x
    x = 289,852,923,379,556.25/11,586,522
  6. Step 6: Final answer
    x = 25,016,387.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.