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Finding the Third Proportional to 323,877,383 and 699,363,165

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Solution

The third proportional to 323,877,383 and 699,363,165 is: 1,510,166,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877,383 : 699,363,165 = 699,363,165 : x
  2. Step 2: Convert to fraction form
    323,877,383/699,363,165 = 699,363,165/x
  3. Step 3: Cross multiply
    323,877,383x = 699,363,165 × 699,363,165
  4. Step 4: Simplify right side
    323,877,383x = 489,108,836,558,817,216
  5. Step 5: Solve for x
    x = 489,108,836,558,817,216/323,877,383
  6. Step 6: Final answer
    x = 1,510,166,693.42

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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.