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Finding the Third Proportional to 46,247,879,549 and 73,589,467,962

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Solution

The third proportional to 46,247,879,549 and 73,589,467,962 is: 117,095,310,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,247,879,549 : 73,589,467,962 = 73,589,467,962 : x
  2. Step 2: Convert to fraction form
    46,247,879,549/73,589,467,962 = 73,589,467,962/x
  3. Step 3: Cross multiply
    46,247,879,549x = 73,589,467,962 × 73,589,467,962
  4. Step 4: Simplify right side
    46,247,879,549x = 5,415,409,794,930,224,136,192
  5. Step 5: Solve for x
    x = 5,415,409,794,930,224,136,192/46,247,879,549
  6. Step 6: Final answer
    x = 117,095,310,049.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.