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Finding the Third Proportional to 5,716,297 and 12,584,049

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Solution

The third proportional to 5,716,297 and 12,584,049 is: 27,702,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716,297 : 12,584,049 = 12,584,049 : x
  2. Step 2: Convert to fraction form
    5,716,297/12,584,049 = 12,584,049/x
  3. Step 3: Cross multiply
    5,716,297x = 12,584,049 × 12,584,049
  4. Step 4: Simplify right side
    5,716,297x = 158,358,289,234,401
  5. Step 5: Solve for x
    x = 158,358,289,234,401/5,716,297
  6. Step 6: Final answer
    x = 27,702,949.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.