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Finding the Third Proportional to 205,877,874 and 452,563,711

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Solution

The third proportional to 205,877,874 and 452,563,711 is: 994,832,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877,874 : 452,563,711 = 452,563,711 : x
  2. Step 2: Convert to fraction form
    205,877,874/452,563,711 = 452,563,711/x
  3. Step 3: Cross multiply
    205,877,874x = 452,563,711 × 452,563,711
  4. Step 4: Simplify right side
    205,877,874x = 204,813,912,514,091,520
  5. Step 5: Solve for x
    x = 204,813,912,514,091,520/205,877,874
  6. Step 6: Final answer
    x = 994,832,074.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.