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Finding the Third Proportional to 37,411,794 and 80,393,148

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Solution

The third proportional to 37,411,794 and 80,393,148 is: 172,754,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411,794 : 80,393,148 = 80,393,148 : x
  2. Step 2: Convert to fraction form
    37,411,794/80,393,148 = 80,393,148/x
  3. Step 3: Cross multiply
    37,411,794x = 80,393,148 × 80,393,148
  4. Step 4: Simplify right side
    37,411,794x = 6,463,058,245,349,904
  5. Step 5: Solve for x
    x = 6,463,058,245,349,904/37,411,794
  6. Step 6: Final answer
    x = 172,754,566.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.