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Finding the Third Proportional to 5,357,198 and 8,084,105

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Solution

The third proportional to 5,357,198 and 8,084,105 is: 12,199,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,198 : 8,084,105 = 8,084,105 : x
  2. Step 2: Convert to fraction form
    5,357,198/8,084,105 = 8,084,105/x
  3. Step 3: Cross multiply
    5,357,198x = 8,084,105 × 8,084,105
  4. Step 4: Simplify right side
    5,357,198x = 65,352,753,651,025
  5. Step 5: Solve for x
    x = 65,352,753,651,025/5,357,198
  6. Step 6: Final answer
    x = 12,199,055.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.