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Finding the Third Proportional to 17,733,109 and 38,201,786

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Solution

The third proportional to 17,733,109 and 38,201,786 is: 82,296,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733,109 : 38,201,786 = 38,201,786 : x
  2. Step 2: Convert to fraction form
    17,733,109/38,201,786 = 38,201,786/x
  3. Step 3: Cross multiply
    17,733,109x = 38,201,786 × 38,201,786
  4. Step 4: Simplify right side
    17,733,109x = 1,459,376,453,589,796
  5. Step 5: Solve for x
    x = 1,459,376,453,589,796/17,733,109
  6. Step 6: Final answer
    x = 82,296,705.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.