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Finding the Third Proportional to 322,407,029 and 699,552,481

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Solution

The third proportional to 322,407,029 and 699,552,481 is: 1,517,875,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407,029 : 699,552,481 = 699,552,481 : x
  2. Step 2: Convert to fraction form
    322,407,029/699,552,481 = 699,552,481/x
  3. Step 3: Cross multiply
    322,407,029x = 699,552,481 × 699,552,481
  4. Step 4: Simplify right side
    322,407,029x = 489,373,673,673,255,360
  5. Step 5: Solve for x
    x = 489,373,673,673,255,360/322,407,029
  6. Step 6: Final answer
    x = 1,517,875,324.22

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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.