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Finding the Third Proportional to 3,583,787,256 and 4,982,969,716

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Solution

The third proportional to 3,583,787,256 and 4,982,969,716 is: 6,928,421,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583,787,256 : 4,982,969,716 = 4,982,969,716 : x
  2. Step 2: Convert to fraction form
    3,583,787,256/4,982,969,716 = 4,982,969,716/x
  3. Step 3: Cross multiply
    3,583,787,256x = 4,982,969,716 × 4,982,969,716
  4. Step 4: Simplify right side
    3,583,787,256x = 24,829,987,190,573,121,536
  5. Step 5: Solve for x
    x = 24,829,987,190,573,121,536/3,583,787,256
  6. Step 6: Final answer
    x = 6,928,421,085.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.