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Finding the Third Proportional to 8,001,524 and 11,434,003

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Solution

The third proportional to 8,001,524 and 11,434,003 is: 16,338,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001,524 : 11,434,003 = 11,434,003 : x
  2. Step 2: Convert to fraction form
    8,001,524/11,434,003 = 11,434,003/x
  3. Step 3: Cross multiply
    8,001,524x = 11,434,003 × 11,434,003
  4. Step 4: Simplify right side
    8,001,524x = 130,736,424,604,009
  5. Step 5: Solve for x
    x = 130,736,424,604,009/8,001,524
  6. Step 6: Final answer
    x = 16,338,940.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.