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Finding the Third Proportional to 2,194,633,208 and 3,343,400,676

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Solution

The third proportional to 2,194,633,208 and 3,343,400,676 is: 5,093,483,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,633,208 : 3,343,400,676 = 3,343,400,676 : x
  2. Step 2: Convert to fraction form
    2,194,633,208/3,343,400,676 = 3,343,400,676/x
  3. Step 3: Cross multiply
    2,194,633,208x = 3,343,400,676 × 3,343,400,676
  4. Step 4: Simplify right side
    2,194,633,208x = 11,178,328,080,277,256,192
  5. Step 5: Solve for x
    x = 11,178,328,080,277,256,192/2,194,633,208
  6. Step 6: Final answer
    x = 5,093,483,521.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.