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Finding the Third Proportional to 2,733,323,047 and 4,082,073,312

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Solution

The third proportional to 2,733,323,047 and 4,082,073,312 is: 6,096,360,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,323,047 : 4,082,073,312 = 4,082,073,312 : x
  2. Step 2: Convert to fraction form
    2,733,323,047/4,082,073,312 = 4,082,073,312/x
  3. Step 3: Cross multiply
    2,733,323,047x = 4,082,073,312 × 4,082,073,312
  4. Step 4: Simplify right side
    2,733,323,047x = 16,663,322,524,542,648,320
  5. Step 5: Solve for x
    x = 16,663,322,524,542,648,320/2,733,323,047
  6. Step 6: Final answer
    x = 6,096,360,451.37

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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.