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Finding the Third Proportional to 4,516,443,340 and 9,783,379,782

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Solution

The third proportional to 4,516,443,340 and 9,783,379,782 is: 21,192,454,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,443,340 : 9,783,379,782 = 9,783,379,782 : x
  2. Step 2: Convert to fraction form
    4,516,443,340/9,783,379,782 = 9,783,379,782/x
  3. Step 3: Cross multiply
    4,516,443,340x = 9,783,379,782 × 9,783,379,782
  4. Step 4: Simplify right side
    4,516,443,340x = 95,714,519,958,846,373,888
  5. Step 5: Solve for x
    x = 95,714,519,958,846,373,888/4,516,443,340
  6. Step 6: Final answer
    x = 21,192,454,494.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.