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Finding the Third Proportional to 8,173,005.50 and 17,342,251

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Solution

The third proportional to 8,173,005.50 and 17,342,251 is: 36,798,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173,005.50 : 17,342,251 = 17,342,251 : x
  2. Step 2: Convert to fraction form
    8,173,005.50/17,342,251 = 17,342,251/x
  3. Step 3: Cross multiply
    8,173,005.50x = 17,342,251 × 17,342,251
  4. Step 4: Simplify right side
    8,173,005.50x = 300,753,669,747,001
  5. Step 5: Solve for x
    x = 300,753,669,747,001/8,173,005.50
  6. Step 6: Final answer
    x = 36,798,417.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.