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Finding the Third Proportional to 11,823,084 and 17,819,184

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Solution

The third proportional to 11,823,084 and 17,819,184 is: 26,856,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,084 : 17,819,184 = 17,819,184 : x
  2. Step 2: Convert to fraction form
    11,823,084/17,819,184 = 17,819,184/x
  3. Step 3: Cross multiply
    11,823,084x = 17,819,184 × 17,819,184
  4. Step 4: Simplify right side
    11,823,084x = 317,523,318,425,856
  5. Step 5: Solve for x
    x = 317,523,318,425,856/11,823,084
  6. Step 6: Final answer
    x = 26,856,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.