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Finding the Third Proportional to 1,511,691,946 and 2,161,722,063

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Solution

The third proportional to 1,511,691,946 and 2,161,722,063 is: 3,091,266,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,691,946 : 2,161,722,063 = 2,161,722,063 : x
  2. Step 2: Convert to fraction form
    1,511,691,946/2,161,722,063 = 2,161,722,063/x
  3. Step 3: Cross multiply
    1,511,691,946x = 2,161,722,063 × 2,161,722,063
  4. Step 4: Simplify right side
    1,511,691,946x = 4,673,042,277,660,976,128
  5. Step 5: Solve for x
    x = 4,673,042,277,660,976,128/1,511,691,946
  6. Step 6: Final answer
    x = 3,091,266,239.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.