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Finding the Third Proportional to 182,703,638 and 431,162,041

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Solution

The third proportional to 182,703,638 and 431,162,041 is: 1,017,498,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,703,638 : 431,162,041 = 431,162,041 : x
  2. Step 2: Convert to fraction form
    182,703,638/431,162,041 = 431,162,041/x
  3. Step 3: Cross multiply
    182,703,638x = 431,162,041 × 431,162,041
  4. Step 4: Simplify right side
    182,703,638x = 185,900,705,599,285,696
  5. Step 5: Solve for x
    x = 185,900,705,599,285,696/182,703,638
  6. Step 6: Final answer
    x = 1,017,498,653.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.