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Finding the Third Proportional to 8,173,007 and 17,342,254

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Solution

The third proportional to 8,173,007 and 17,342,254 is: 36,798,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173,007 : 17,342,254 = 17,342,254 : x
  2. Step 2: Convert to fraction form
    8,173,007/17,342,254 = 17,342,254/x
  3. Step 3: Cross multiply
    8,173,007x = 17,342,254 × 17,342,254
  4. Step 4: Simplify right side
    8,173,007x = 300,753,773,800,516
  5. Step 5: Solve for x
    x = 300,753,773,800,516/8,173,007
  6. Step 6: Final answer
    x = 36,798,423.62

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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.