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Finding the Third Proportional to 17,885,814 and 38,796,240

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Solution

The third proportional to 17,885,814 and 38,796,240 is: 84,153,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885,814 : 38,796,240 = 38,796,240 : x
  2. Step 2: Convert to fraction form
    17,885,814/38,796,240 = 38,796,240/x
  3. Step 3: Cross multiply
    17,885,814x = 38,796,240 × 38,796,240
  4. Step 4: Simplify right side
    17,885,814x = 1,505,148,238,137,600
  5. Step 5: Solve for x
    x = 1,505,148,238,137,600/17,885,814
  6. Step 6: Final answer
    x = 84,153,186.33

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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.