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Finding the Third Proportional to 45,424,082,809 and 98,846,783,856

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Solution

The third proportional to 45,424,082,809 and 98,846,783,856 is: 215,099,261,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424,082,809 : 98,846,783,856 = 98,846,783,856 : x
  2. Step 2: Convert to fraction form
    45,424,082,809/98,846,783,856 = 98,846,783,856/x
  3. Step 3: Cross multiply
    45,424,082,809x = 98,846,783,856 × 98,846,783,856
  4. Step 4: Simplify right side
    45,424,082,809x = 9,770,686,678,674,782,027,776
  5. Step 5: Solve for x
    x = 9,770,686,678,674,782,027,776/45,424,082,809
  6. Step 6: Final answer
    x = 215,099,261,767.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.