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Finding the Third Proportional to 8,384,256 and 17,963,856

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Solution

The third proportional to 8,384,256 and 17,963,856 is: 38,488,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,256 : 17,963,856 = 17,963,856 : x
  2. Step 2: Convert to fraction form
    8,384,256/17,963,856 = 17,963,856/x
  3. Step 3: Cross multiply
    8,384,256x = 17,963,856 × 17,963,856
  4. Step 4: Simplify right side
    8,384,256x = 322,700,122,388,736
  5. Step 5: Solve for x
    x = 322,700,122,388,736/8,384,256
  6. Step 6: Final answer
    x = 38,488,820.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.