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Finding the Third Proportional to 2,016,082,414 and 3,162,638,158

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Solution

The third proportional to 2,016,082,414 and 3,162,638,158 is: 4,961,245,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,082,414 : 3,162,638,158 = 3,162,638,158 : x
  2. Step 2: Convert to fraction form
    2,016,082,414/3,162,638,158 = 3,162,638,158/x
  3. Step 3: Cross multiply
    2,016,082,414x = 3,162,638,158 × 3,162,638,158
  4. Step 4: Simplify right side
    2,016,082,414x = 10,002,280,118,437,632,000
  5. Step 5: Solve for x
    x = 10,002,280,118,437,632,000/2,016,082,414
  6. Step 6: Final answer
    x = 4,961,245,655.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.