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Finding the Third Proportional to 8,123,697 and 17,647,875

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Solution

The third proportional to 8,123,697 and 17,647,875 is: 38,338,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123,697 : 17,647,875 = 17,647,875 : x
  2. Step 2: Convert to fraction form
    8,123,697/17,647,875 = 17,647,875/x
  3. Step 3: Cross multiply
    8,123,697x = 17,647,875 × 17,647,875
  4. Step 4: Simplify right side
    8,123,697x = 311,447,492,015,625
  5. Step 5: Solve for x
    x = 311,447,492,015,625/8,123,697
  6. Step 6: Final answer
    x = 38,338,147.28

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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.