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Finding the Third Proportional to 20,939,342 and 31,431,166

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Solution

The third proportional to 20,939,342 and 31,431,166 is: 47,180,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939,342 : 31,431,166 = 31,431,166 : x
  2. Step 2: Convert to fraction form
    20,939,342/31,431,166 = 31,431,166/x
  3. Step 3: Cross multiply
    20,939,342x = 31,431,166 × 31,431,166
  4. Step 4: Simplify right side
    20,939,342x = 987,918,196,119,556
  5. Step 5: Solve for x
    x = 987,918,196,119,556/20,939,342
  6. Step 6: Final answer
    x = 47,180,001.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.