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Finding the Third Proportional to 2,519,351,730 and 3,546,256,419

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Solution

The third proportional to 2,519,351,730 and 3,546,256,419 is: 4,991,734,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,351,730 : 3,546,256,419 = 3,546,256,419 : x
  2. Step 2: Convert to fraction form
    2,519,351,730/3,546,256,419 = 3,546,256,419/x
  3. Step 3: Cross multiply
    2,519,351,730x = 3,546,256,419 × 3,546,256,419
  4. Step 4: Simplify right side
    2,519,351,730x = 12,575,934,589,298,704,384
  5. Step 5: Solve for x
    x = 12,575,934,589,298,704,384/2,519,351,730
  6. Step 6: Final answer
    x = 4,991,734,357.51

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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.