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Finding the Third Proportional to 17,644,090.50 and 38,219,411.25

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Solution

The third proportional to 17,644,090.50 and 38,219,411.25 is: 82,788,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644,090.50 : 38,219,411.25 = 38,219,411.25 : x
  2. Step 2: Convert to fraction form
    17,644,090.50/38,219,411.25 = 38,219,411.25/x
  3. Step 3: Cross multiply
    17,644,090.50x = 38,219,411.25 × 38,219,411.25
  4. Step 4: Simplify right side
    17,644,090.50x = 1,460,723,396,296,626.50
  5. Step 5: Solve for x
    x = 1,460,723,396,296,626.50/17,644,090.50
  6. Step 6: Final answer
    x = 82,788,251.19

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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.