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Finding the Third Proportional to 1,511,691,948 and 2,161,722,066

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Solution

The third proportional to 1,511,691,948 and 2,161,722,066 is: 3,091,266,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,691,948 : 2,161,722,066 = 2,161,722,066 : x
  2. Step 2: Convert to fraction form
    1,511,691,948/2,161,722,066 = 2,161,722,066/x
  3. Step 3: Cross multiply
    1,511,691,948x = 2,161,722,066 × 2,161,722,066
  4. Step 4: Simplify right side
    1,511,691,948x = 4,673,042,290,631,308,288
  5. Step 5: Solve for x
    x = 4,673,042,290,631,308,288/1,511,691,948
  6. Step 6: Final answer
    x = 3,091,266,244.30

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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.