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Finding the Third Proportional to 2,016,082,418 and 3,162,638,164

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Solution

The third proportional to 2,016,082,418 and 3,162,638,164 is: 4,961,245,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,082,418 : 3,162,638,164 = 3,162,638,164 : x
  2. Step 2: Convert to fraction form
    2,016,082,418/3,162,638,164 = 3,162,638,164/x
  3. Step 3: Cross multiply
    2,016,082,418x = 3,162,638,164 × 3,162,638,164
  4. Step 4: Simplify right side
    2,016,082,418x = 10,002,280,156,389,289,984
  5. Step 5: Solve for x
    x = 10,002,280,156,389,289,984/2,016,082,418
  6. Step 6: Final answer
    x = 4,961,245,664.90

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