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Finding the Third Proportional to 189,647,835 and 413,753,859

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Solution

The third proportional to 189,647,835 and 413,753,859 is: 902,684,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647,835 : 413,753,859 = 413,753,859 : x
  2. Step 2: Convert to fraction form
    189,647,835/413,753,859 = 413,753,859/x
  3. Step 3: Cross multiply
    189,647,835x = 413,753,859 × 413,753,859
  4. Step 4: Simplify right side
    189,647,835x = 171,192,255,837,391,872
  5. Step 5: Solve for x
    x = 171,192,255,837,391,872/189,647,835
  6. Step 6: Final answer
    x = 902,684,999.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.