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Finding the Third Proportional to 8,224,324 and 17,821,544

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Solution

The third proportional to 8,224,324 and 17,821,544 is: 38,618,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,324 : 17,821,544 = 17,821,544 : x
  2. Step 2: Convert to fraction form
    8,224,324/17,821,544 = 17,821,544/x
  3. Step 3: Cross multiply
    8,224,324x = 17,821,544 × 17,821,544
  4. Step 4: Simplify right side
    8,224,324x = 317,607,430,543,936
  5. Step 5: Solve for x
    x = 317,607,430,543,936/8,224,324
  6. Step 6: Final answer
    x = 38,618,059.13

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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.