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Finding the Third Proportional to 7,851,384 and 16,905,456

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Solution

The third proportional to 7,851,384 and 16,905,456 is: 36,400,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,384 : 16,905,456 = 16,905,456 : x
  2. Step 2: Convert to fraction form
    7,851,384/16,905,456 = 16,905,456/x
  3. Step 3: Cross multiply
    7,851,384x = 16,905,456 × 16,905,456
  4. Step 4: Simplify right side
    7,851,384x = 285,794,442,567,936
  5. Step 5: Solve for x
    x = 285,794,442,567,936/7,851,384
  6. Step 6: Final answer
    x = 36,400,517.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.