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Finding the Third Proportional to 8,224,328 and 17,821,552

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Solution

The third proportional to 8,224,328 and 17,821,552 is: 38,618,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,328 : 17,821,552 = 17,821,552 : x
  2. Step 2: Convert to fraction form
    8,224,328/17,821,552 = 17,821,552/x
  3. Step 3: Cross multiply
    8,224,328x = 17,821,552 × 17,821,552
  4. Step 4: Simplify right side
    8,224,328x = 317,607,715,688,704
  5. Step 5: Solve for x
    x = 317,607,715,688,704/8,224,328
  6. Step 6: Final answer
    x = 38,618,075.02

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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.