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Finding the Third Proportional to 16,869,716,192 and 35,135,728,862

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Solution

The third proportional to 16,869,716,192 and 35,135,728,862 is: 73,179,621,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869,716,192 : 35,135,728,862 = 35,135,728,862 : x
  2. Step 2: Convert to fraction form
    16,869,716,192/35,135,728,862 = 35,135,728,862/x
  3. Step 3: Cross multiply
    16,869,716,192x = 35,135,728,862 × 35,135,728,862
  4. Step 4: Simplify right side
    16,869,716,192x = 1,234,519,442,663,979,876,352
  5. Step 5: Solve for x
    x = 1,234,519,442,663,979,876,352/16,869,716,192
  6. Step 6: Final answer
    x = 73,179,621,317.48

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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.