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Finding the Third Proportional to 8,224,320 and 17,821,536

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Solution

The third proportional to 8,224,320 and 17,821,536 is: 38,618,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,320 : 17,821,536 = 17,821,536 : x
  2. Step 2: Convert to fraction form
    8,224,320/17,821,536 = 17,821,536/x
  3. Step 3: Cross multiply
    8,224,320x = 17,821,536 × 17,821,536
  4. Step 4: Simplify right side
    8,224,320x = 317,607,145,399,296
  5. Step 5: Solve for x
    x = 317,607,145,399,296/8,224,320
  6. Step 6: Final answer
    x = 38,618,043.24

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