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Finding the Third Proportional to 10,067,340 and 21,814,296

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Solution

The third proportional to 10,067,340 and 21,814,296 is: 47,268,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,340 : 21,814,296 = 21,814,296 : x
  2. Step 2: Convert to fraction form
    10,067,340/21,814,296 = 21,814,296/x
  3. Step 3: Cross multiply
    10,067,340x = 21,814,296 × 21,814,296
  4. Step 4: Simplify right side
    10,067,340x = 475,863,509,975,616
  5. Step 5: Solve for x
    x = 475,863,509,975,616/10,067,340
  6. Step 6: Final answer
    x = 47,268,047.96

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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.