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Finding the Third Proportional to 10,820,098 and 16,196,234

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Solution

The third proportional to 10,820,098 and 16,196,234 is: 24,243,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820,098 : 16,196,234 = 16,196,234 : x
  2. Step 2: Convert to fraction form
    10,820,098/16,196,234 = 16,196,234/x
  3. Step 3: Cross multiply
    10,820,098x = 16,196,234 × 16,196,234
  4. Step 4: Simplify right side
    10,820,098x = 262,317,995,782,756
  5. Step 5: Solve for x
    x = 262,317,995,782,756/10,820,098
  6. Step 6: Final answer
    x = 24,243,587.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.