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Finding the Third Proportional to 5,297,391 and 11,317,401

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Solution

The third proportional to 5,297,391 and 11,317,401 is: 24,178,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,391 : 11,317,401 = 11,317,401 : x
  2. Step 2: Convert to fraction form
    5,297,391/11,317,401 = 11,317,401/x
  3. Step 3: Cross multiply
    5,297,391x = 11,317,401 × 11,317,401
  4. Step 4: Simplify right side
    5,297,391x = 128,083,565,394,801
  5. Step 5: Solve for x
    x = 128,083,565,394,801/5,297,391
  6. Step 6: Final answer
    x = 24,178,612.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.