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Finding the Third Proportional to 5,296,968 and 8,200,251

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Solution

The third proportional to 5,296,968 and 8,200,251 is: 12,694,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,968 : 8,200,251 = 8,200,251 : x
  2. Step 2: Convert to fraction form
    5,296,968/8,200,251 = 8,200,251/x
  3. Step 3: Cross multiply
    5,296,968x = 8,200,251 × 8,200,251
  4. Step 4: Simplify right side
    5,296,968x = 67,244,116,463,001
  5. Step 5: Solve for x
    x = 67,244,116,463,001/5,296,968
  6. Step 6: Final answer
    x = 12,694,831.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.