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Finding the Third Proportional to 441,353,129 and 952,916,002

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Solution

The third proportional to 441,353,129 and 952,916,002 is: 2,057,420,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,353,129 : 952,916,002 = 952,916,002 : x
  2. Step 2: Convert to fraction form
    441,353,129/952,916,002 = 952,916,002/x
  3. Step 3: Cross multiply
    441,353,129x = 952,916,002 × 952,916,002
  4. Step 4: Simplify right side
    441,353,129x = 908,048,906,867,664,000
  5. Step 5: Solve for x
    x = 908,048,906,867,664,000/441,353,129
  6. Step 6: Final answer
    x = 2,057,420,344.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.