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Finding the Third Proportional to 189,647,968 and 413,754,092

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Solution

The third proportional to 189,647,968 and 413,754,092 is: 902,685,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647,968 : 413,754,092 = 413,754,092 : x
  2. Step 2: Convert to fraction form
    189,647,968/413,754,092 = 413,754,092/x
  3. Step 3: Cross multiply
    189,647,968x = 413,754,092 × 413,754,092
  4. Step 4: Simplify right side
    189,647,968x = 171,192,448,646,744,448
  5. Step 5: Solve for x
    x = 171,192,448,646,744,448/189,647,968
  6. Step 6: Final answer
    x = 902,685,383.09

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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.