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Finding the Third Proportional to 7,942,743 and 17,342,010

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Solution

The third proportional to 7,942,743 and 17,342,010 is: 37,864,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942,743 : 17,342,010 = 17,342,010 : x
  2. Step 2: Convert to fraction form
    7,942,743/17,342,010 = 17,342,010/x
  3. Step 3: Cross multiply
    7,942,743x = 17,342,010 × 17,342,010
  4. Step 4: Simplify right side
    7,942,743x = 300,745,310,840,100
  5. Step 5: Solve for x
    x = 300,745,310,840,100/7,942,743
  6. Step 6: Final answer
    x = 37,864,162.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.