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Finding the Third Proportional to 8,165,697 and 17,825,601

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Solution

The third proportional to 8,165,697 and 17,825,601 is: 38,913,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165,697 : 17,825,601 = 17,825,601 : x
  2. Step 2: Convert to fraction form
    8,165,697/17,825,601 = 17,825,601/x
  3. Step 3: Cross multiply
    8,165,697x = 17,825,601 × 17,825,601
  4. Step 4: Simplify right side
    8,165,697x = 317,752,051,011,201
  5. Step 5: Solve for x
    x = 317,752,051,011,201/8,165,697
  6. Step 6: Final answer
    x = 38,913,034.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.