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Finding the Third Proportional to 7,987,273.75 and 17,494,943

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Solution

The third proportional to 7,987,273.75 and 17,494,943 is: 38,320,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,273.75 : 17,494,943 = 17,494,943 : x
  2. Step 2: Convert to fraction form
    7,987,273.75/17,494,943 = 17,494,943/x
  3. Step 3: Cross multiply
    7,987,273.75x = 17,494,943 × 17,494,943
  4. Step 4: Simplify right side
    7,987,273.75x = 306,073,030,573,249
  5. Step 5: Solve for x
    x = 306,073,030,573,249/7,987,273.75
  6. Step 6: Final answer
    x = 38,320,087.70

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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.