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Finding the Third Proportional to 17,650,743 and 38,089,911

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Solution

The third proportional to 17,650,743 and 38,089,911 is: 82,197,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650,743 : 38,089,911 = 38,089,911 : x
  2. Step 2: Convert to fraction form
    17,650,743/38,089,911 = 38,089,911/x
  3. Step 3: Cross multiply
    17,650,743x = 38,089,911 × 38,089,911
  4. Step 4: Simplify right side
    17,650,743x = 1,450,841,319,987,921
  5. Step 5: Solve for x
    x = 1,450,841,319,987,921/17,650,743
  6. Step 6: Final answer
    x = 82,197,181.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.