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Finding the Third Proportional to 7,987,249.69 and 17,494,898.06

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Solution

The third proportional to 7,987,249.69 and 17,494,898.06 is: 38,320,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,249.69 : 17,494,898.06 = 17,494,898.06 : x
  2. Step 2: Convert to fraction form
    7,987,249.69/17,494,898.06 = 17,494,898.06/x
  3. Step 3: Cross multiply
    7,987,249.69x = 17,494,898.06 × 17,494,898.06
  4. Step 4: Simplify right side
    7,987,249.69x = 306,071,458,217,266.25
  5. Step 5: Solve for x
    x = 306,071,458,217,266.25/7,987,249.69
  6. Step 6: Final answer
    x = 38,320,006.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.