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Finding the Third Proportional to 33,693,774 and 49,277,058

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Solution

The third proportional to 33,693,774 and 49,277,058 is: 72,067,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693,774 : 49,277,058 = 49,277,058 : x
  2. Step 2: Convert to fraction form
    33,693,774/49,277,058 = 49,277,058/x
  3. Step 3: Cross multiply
    33,693,774x = 49,277,058 × 49,277,058
  4. Step 4: Simplify right side
    33,693,774x = 2,428,228,445,135,364
  5. Step 5: Solve for x
    x = 2,428,228,445,135,364/33,693,774
  6. Step 6: Final answer
    x = 72,067,570.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.