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Finding the Third Proportional to 381,595,848 and 823,622,880

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Solution

The third proportional to 381,595,848 and 823,622,880 is: 1,777,678,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,595,848 : 823,622,880 = 823,622,880 : x
  2. Step 2: Convert to fraction form
    381,595,848/823,622,880 = 823,622,880/x
  3. Step 3: Cross multiply
    381,595,848x = 823,622,880 × 823,622,880
  4. Step 4: Simplify right side
    381,595,848x = 678,354,648,459,494,400
  5. Step 5: Solve for x
    x = 678,354,648,459,494,400/381,595,848
  6. Step 6: Final answer
    x = 1,777,678,274.06

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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.