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Finding the Third Proportional to 862,961,082 and 1,901,821,116

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Solution

The third proportional to 862,961,082 and 1,901,821,116 is: 4,191,293,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,961,082 : 1,901,821,116 = 1,901,821,116 : x
  2. Step 2: Convert to fraction form
    862,961,082/1,901,821,116 = 1,901,821,116/x
  3. Step 3: Cross multiply
    862,961,082x = 1,901,821,116 × 1,901,821,116
  4. Step 4: Simplify right side
    862,961,082x = 3,616,923,557,263,485,440
  5. Step 5: Solve for x
    x = 3,616,923,557,263,485,440/862,961,082
  6. Step 6: Final answer
    x = 4,191,293,944.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.