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Finding the Third Proportional to 8,119,023 and 17,462,766

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Solution

The third proportional to 8,119,023 and 17,462,766 is: 37,559,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119,023 : 17,462,766 = 17,462,766 : x
  2. Step 2: Convert to fraction form
    8,119,023/17,462,766 = 17,462,766/x
  3. Step 3: Cross multiply
    8,119,023x = 17,462,766 × 17,462,766
  4. Step 4: Simplify right side
    8,119,023x = 304,948,196,370,756
  5. Step 5: Solve for x
    x = 304,948,196,370,756/8,119,023
  6. Step 6: Final answer
    x = 37,559,715.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.