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Finding the Third Proportional to 8,574,825 and 17,855,322

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Solution

The third proportional to 8,574,825 and 17,855,322 is: 37,180,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574,825 : 17,855,322 = 17,855,322 : x
  2. Step 2: Convert to fraction form
    8,574,825/17,855,322 = 17,855,322/x
  3. Step 3: Cross multiply
    8,574,825x = 17,855,322 × 17,855,322
  4. Step 4: Simplify right side
    8,574,825x = 318,812,523,723,684
  5. Step 5: Solve for x
    x = 318,812,523,723,684/8,574,825
  6. Step 6: Final answer
    x = 37,180,061.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.