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Finding the Third Proportional to 8,001,642 and 11,434,161

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Solution

The third proportional to 8,001,642 and 11,434,161 is: 16,339,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001,642 : 11,434,161 = 11,434,161 : x
  2. Step 2: Convert to fraction form
    8,001,642/11,434,161 = 11,434,161/x
  3. Step 3: Cross multiply
    8,001,642x = 11,434,161 × 11,434,161
  4. Step 4: Simplify right side
    8,001,642x = 130,740,037,773,921
  5. Step 5: Solve for x
    x = 130,740,037,773,921/8,001,642
  6. Step 6: Final answer
    x = 16,339,151.11

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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.