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Finding the Third Proportional to 1,912,028,474 and 4,114,622,254

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Solution

The third proportional to 1,912,028,474 and 4,114,622,254 is: 8,854,531,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912,028,474 : 4,114,622,254 = 4,114,622,254 : x
  2. Step 2: Convert to fraction form
    1,912,028,474/4,114,622,254 = 4,114,622,254/x
  3. Step 3: Cross multiply
    1,912,028,474x = 4,114,622,254 × 4,114,622,254
  4. Step 4: Simplify right side
    1,912,028,474x = 16,930,116,293,112,041,472
  5. Step 5: Solve for x
    x = 16,930,116,293,112,041,472/1,912,028,474
  6. Step 6: Final answer
    x = 8,854,531,469.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.