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Finding the Third Proportional to 2,733,322,976 and 4,082,073,216

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Solution

The third proportional to 2,733,322,976 and 4,082,073,216 is: 6,096,360,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,322,976 : 4,082,073,216 = 4,082,073,216 : x
  2. Step 2: Convert to fraction form
    2,733,322,976/4,082,073,216 = 4,082,073,216/x
  3. Step 3: Cross multiply
    2,733,322,976x = 4,082,073,216 × 4,082,073,216
  4. Step 4: Simplify right side
    2,733,322,976x = 16,663,321,740,784,582,656
  5. Step 5: Solve for x
    x = 16,663,321,740,784,582,656/2,733,322,976
  6. Step 6: Final answer
    x = 6,096,360,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.