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Finding the Third Proportional to 8,253,186.75 and 18,100,695.75

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Solution

The third proportional to 8,253,186.75 and 18,100,695.75 is: 39,698,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,186.75 : 18,100,695.75 = 18,100,695.75 : x
  2. Step 2: Convert to fraction form
    8,253,186.75/18,100,695.75 = 18,100,695.75/x
  3. Step 3: Cross multiply
    8,253,186.75x = 18,100,695.75 × 18,100,695.75
  4. Step 4: Simplify right side
    8,253,186.75x = 327,635,186,634,068.06
  5. Step 5: Solve for x
    x = 327,635,186,634,068.06/8,253,186.75
  6. Step 6: Final answer
    x = 39,698,021.69

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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.