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Finding the Third Proportional to 8,224,912 and 17,821,310

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Solution

The third proportional to 8,224,912 and 17,821,310 is: 38,614,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,912 : 17,821,310 = 17,821,310 : x
  2. Step 2: Convert to fraction form
    8,224,912/17,821,310 = 17,821,310/x
  3. Step 3: Cross multiply
    8,224,912x = 17,821,310 × 17,821,310
  4. Step 4: Simplify right side
    8,224,912x = 317,599,090,116,100
  5. Step 5: Solve for x
    x = 317,599,090,116,100/8,224,912
  6. Step 6: Final answer
    x = 38,614,284.28

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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.