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Finding the Third Proportional to 823,204,370,736 and 1,783,168,114,608

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Solution

The third proportional to 823,204,370,736 and 1,783,168,114,608 is: 3,862,574,881,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,204,370,736 : 1,783,168,114,608 = 1,783,168,114,608 : x
  2. Step 2: Convert to fraction form
    823,204,370,736/1,783,168,114,608 = 1,783,168,114,608/x
  3. Step 3: Cross multiply
    823,204,370,736x = 1,783,168,114,608 × 1,783,168,114,608
  4. Step 4: Simplify right side
    823,204,370,736x = 3,179,688,524,954,649,629,818,880
  5. Step 5: Solve for x
    x = 3,179,688,524,954,649,629,818,880/823,204,370,736
  6. Step 6: Final answer
    x = 3,862,574,881,753.60

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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.