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Finding the Third Proportional to 8,023,036 and 16,709,624

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Solution

The third proportional to 8,023,036 and 16,709,624 is: 34,801,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023,036 : 16,709,624 = 16,709,624 : x
  2. Step 2: Convert to fraction form
    8,023,036/16,709,624 = 16,709,624/x
  3. Step 3: Cross multiply
    8,023,036x = 16,709,624 × 16,709,624
  4. Step 4: Simplify right side
    8,023,036x = 279,211,534,221,376
  5. Step 5: Solve for x
    x = 279,211,534,221,376/8,023,036
  6. Step 6: Final answer
    x = 34,801,231.63

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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.