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Finding the Third Proportional to 17,733,098.25 and 38,201,769

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Solution

The third proportional to 17,733,098.25 and 38,201,769 is: 82,296,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733,098.25 : 38,201,769 = 38,201,769 : x
  2. Step 2: Convert to fraction form
    17,733,098.25/38,201,769 = 38,201,769/x
  3. Step 3: Cross multiply
    17,733,098.25x = 38,201,769 × 38,201,769
  4. Step 4: Simplify right side
    17,733,098.25x = 1,459,375,154,729,361
  5. Step 5: Solve for x
    x = 1,459,375,154,729,361/17,733,098.25
  6. Step 6: Final answer
    x = 82,296,682.40

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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.