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Finding the Third Proportional to 7,997,014 and 17,268,299

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Solution

The third proportional to 7,997,014 and 17,268,299 is: 37,288,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,014 : 17,268,299 = 17,268,299 : x
  2. Step 2: Convert to fraction form
    7,997,014/17,268,299 = 17,268,299/x
  3. Step 3: Cross multiply
    7,997,014x = 17,268,299 × 17,268,299
  4. Step 4: Simplify right side
    7,997,014x = 298,194,150,353,401
  5. Step 5: Solve for x
    x = 298,194,150,353,401/7,997,014
  6. Step 6: Final answer
    x = 37,288,186.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.