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Finding the Third Proportional to 323,877,375 and 699,363,150

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Solution

The third proportional to 323,877,375 and 699,363,150 is: 1,510,166,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877,375 : 699,363,150 = 699,363,150 : x
  2. Step 2: Convert to fraction form
    323,877,375/699,363,150 = 699,363,150/x
  3. Step 3: Cross multiply
    323,877,375x = 699,363,150 × 699,363,150
  4. Step 4: Simplify right side
    323,877,375x = 489,108,815,577,922,496
  5. Step 5: Solve for x
    x = 489,108,815,577,922,496/323,877,375
  6. Step 6: Final answer
    x = 1,510,166,665.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.