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Finding the Third Proportional to 7,419,296.25 and 16,107,582.38

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Solution

The third proportional to 7,419,296.25 and 16,107,582.38 is: 34,970,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,296.25 : 16,107,582.38 = 16,107,582.38 : x
  2. Step 2: Convert to fraction form
    7,419,296.25/16,107,582.38 = 16,107,582.38/x
  3. Step 3: Cross multiply
    7,419,296.25x = 16,107,582.38 × 16,107,582.38
  4. Step 4: Simplify right side
    7,419,296.25x = 259,454,209,967,410.62
  5. Step 5: Solve for x
    x = 259,454,209,967,410.62/7,419,296.25
  6. Step 6: Final answer
    x = 34,970,191.41

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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.