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Finding the Third Proportional to 8,224,136 and 17,821,161

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Solution

The third proportional to 8,224,136 and 17,821,161 is: 38,617,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,136 : 17,821,161 = 17,821,161 : x
  2. Step 2: Convert to fraction form
    8,224,136/17,821,161 = 17,821,161/x
  3. Step 3: Cross multiply
    8,224,136x = 17,821,161 × 17,821,161
  4. Step 4: Simplify right side
    8,224,136x = 317,593,779,387,921
  5. Step 5: Solve for x
    x = 317,593,779,387,921/8,224,136
  6. Step 6: Final answer
    x = 38,617,282.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.