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Finding the Third Proportional to 189,647,833 and 413,753,857

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Solution

The third proportional to 189,647,833 and 413,753,857 is: 902,685,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647,833 : 413,753,857 = 413,753,857 : x
  2. Step 2: Convert to fraction form
    189,647,833/413,753,857 = 413,753,857/x
  3. Step 3: Cross multiply
    189,647,833x = 413,753,857 × 413,753,857
  4. Step 4: Simplify right side
    189,647,833x = 171,192,254,182,376,448
  5. Step 5: Solve for x
    x = 171,192,254,182,376,448/189,647,833
  6. Step 6: Final answer
    x = 902,685,000.27

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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.