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Finding the Third Proportional to 4,265,540,169 and 9,273,520,401

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Solution

The third proportional to 4,265,540,169 and 9,273,520,401 is: 20,161,146,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265,540,169 : 9,273,520,401 = 9,273,520,401 : x
  2. Step 2: Convert to fraction form
    4,265,540,169/9,273,520,401 = 9,273,520,401/x
  3. Step 3: Cross multiply
    4,265,540,169x = 9,273,520,401 × 9,273,520,401
  4. Step 4: Simplify right side
    4,265,540,169x = 85,998,180,627,763,200,000
  5. Step 5: Solve for x
    x = 85,998,180,627,763,200,000/4,265,540,169
  6. Step 6: Final answer
    x = 20,161,146,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.