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Finding the Third Proportional to 17,567,814 and 38,068,029

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Solution

The third proportional to 17,567,814 and 38,068,029 is: 82,490,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567,814 : 38,068,029 = 38,068,029 : x
  2. Step 2: Convert to fraction form
    17,567,814/38,068,029 = 38,068,029/x
  3. Step 3: Cross multiply
    17,567,814x = 38,068,029 × 38,068,029
  4. Step 4: Simplify right side
    17,567,814x = 1,449,174,831,944,841
  5. Step 5: Solve for x
    x = 1,449,174,831,944,841/17,567,814
  6. Step 6: Final answer
    x = 82,490,333.28

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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.