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Finding the Third Proportional to 17,733,100 and 38,201,773

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Solution

The third proportional to 17,733,100 and 38,201,773 is: 82,296,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733,100 : 38,201,773 = 38,201,773 : x
  2. Step 2: Convert to fraction form
    17,733,100/38,201,773 = 38,201,773/x
  3. Step 3: Cross multiply
    17,733,100x = 38,201,773 × 38,201,773
  4. Step 4: Simplify right side
    17,733,100x = 1,459,375,460,343,529
  5. Step 5: Solve for x
    x = 1,459,375,460,343,529/17,733,100
  6. Step 6: Final answer
    x = 82,296,691.52

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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.