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Finding the Third Proportional to 6,512,902 and 9,962,761

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Solution

The third proportional to 6,512,902 and 9,962,761 is: 15,239,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512,902 : 9,962,761 = 9,962,761 : x
  2. Step 2: Convert to fraction form
    6,512,902/9,962,761 = 9,962,761/x
  3. Step 3: Cross multiply
    6,512,902x = 9,962,761 × 9,962,761
  4. Step 4: Simplify right side
    6,512,902x = 99,256,606,743,121
  5. Step 5: Solve for x
    x = 99,256,606,743,121/6,512,902
  6. Step 6: Final answer
    x = 15,239,996.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.