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Finding the Third Proportional to 2,519,351,728 and 3,546,256,416

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Solution

The third proportional to 2,519,351,728 and 3,546,256,416 is: 4,991,734,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,351,728 : 3,546,256,416 = 3,546,256,416 : x
  2. Step 2: Convert to fraction form
    2,519,351,728/3,546,256,416 = 3,546,256,416/x
  3. Step 3: Cross multiply
    2,519,351,728x = 3,546,256,416 × 3,546,256,416
  4. Step 4: Simplify right side
    2,519,351,728x = 12,575,934,568,021,164,032
  5. Step 5: Solve for x
    x = 12,575,934,568,021,164,032/2,519,351,728
  6. Step 6: Final answer
    x = 4,991,734,353.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.