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Finding the Third Proportional to 8,259,937.25 and 17,715,583

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Solution

The third proportional to 8,259,937.25 and 17,715,583 is: 37,995,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259,937.25 : 17,715,583 = 17,715,583 : x
  2. Step 2: Convert to fraction form
    8,259,937.25/17,715,583 = 17,715,583/x
  3. Step 3: Cross multiply
    8,259,937.25x = 17,715,583 × 17,715,583
  4. Step 4: Simplify right side
    8,259,937.25x = 313,841,881,029,889
  5. Step 5: Solve for x
    x = 313,841,881,029,889/8,259,937.25
  6. Step 6: Final answer
    x = 37,995,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.