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Finding the Third Proportional to 2,339,783,122 and 5,082,342,292

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Solution

The third proportional to 2,339,783,122 and 5,082,342,292 is: 11,039,571,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,783,122 : 5,082,342,292 = 5,082,342,292 : x
  2. Step 2: Convert to fraction form
    2,339,783,122/5,082,342,292 = 5,082,342,292/x
  3. Step 3: Cross multiply
    2,339,783,122x = 5,082,342,292 × 5,082,342,292
  4. Step 4: Simplify right side
    2,339,783,122x = 25,830,203,173,051,813,888
  5. Step 5: Solve for x
    x = 25,830,203,173,051,813,888/2,339,783,122
  6. Step 6: Final answer
    x = 11,039,571,544.12

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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.