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Finding the Third Proportional to 322,407,027 and 699,552,477

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Solution

The third proportional to 322,407,027 and 699,552,477 is: 1,517,875,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407,027 : 699,552,477 = 699,552,477 : x
  2. Step 2: Convert to fraction form
    322,407,027/699,552,477 = 699,552,477/x
  3. Step 3: Cross multiply
    322,407,027x = 699,552,477 × 699,552,477
  4. Step 4: Simplify right side
    322,407,027x = 489,373,668,076,835,520
  5. Step 5: Solve for x
    x = 489,373,668,076,835,520/322,407,027
  6. Step 6: Final answer
    x = 1,517,875,316.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.