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Finding the Third Proportional to 1,511,691,943.50 and 2,161,722,060

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Solution

The third proportional to 1,511,691,943.50 and 2,161,722,060 is: 3,091,266,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,691,943.50 : 2,161,722,060 = 2,161,722,060 : x
  2. Step 2: Convert to fraction form
    1,511,691,943.50/2,161,722,060 = 2,161,722,060/x
  3. Step 3: Cross multiply
    1,511,691,943.50x = 2,161,722,060 × 2,161,722,060
  4. Step 4: Simplify right side
    1,511,691,943.50x = 4,673,042,264,690,643,968
  5. Step 5: Solve for x
    x = 4,673,042,264,690,643,968/1,511,691,943.50
  6. Step 6: Final answer
    x = 3,091,266,236.34

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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.