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Finding the Third Proportional to 16,869,719,401 and 35,135,735,514

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Solution

The third proportional to 16,869,719,401 and 35,135,735,514 is: 73,179,635,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869,719,401 : 35,135,735,514 = 35,135,735,514 : x
  2. Step 2: Convert to fraction form
    16,869,719,401/35,135,735,514 = 35,135,735,514/x
  3. Step 3: Cross multiply
    16,869,719,401x = 35,135,735,514 × 35,135,735,514
  4. Step 4: Simplify right side
    16,869,719,401x = 1,234,519,910,109,760,716,800
  5. Step 5: Solve for x
    x = 1,234,519,910,109,760,716,800/16,869,719,401
  6. Step 6: Final answer
    x = 73,179,635,106.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.