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Finding the Third Proportional to 26,902,260 and 37,749,189

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Solution

The third proportional to 26,902,260 and 37,749,189 is: 52,969,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902,260 : 37,749,189 = 37,749,189 : x
  2. Step 2: Convert to fraction form
    26,902,260/37,749,189 = 37,749,189/x
  3. Step 3: Cross multiply
    26,902,260x = 37,749,189 × 37,749,189
  4. Step 4: Simplify right side
    26,902,260x = 1,425,001,270,157,721
  5. Step 5: Solve for x
    x = 1,425,001,270,157,721/26,902,260
  6. Step 6: Final answer
    x = 52,969,574.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.