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Finding the Third Proportional to 622,172,873.25 and 1,333,090,107.56

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Solution

The third proportional to 622,172,873.25 and 1,333,090,107.56 is: 2,856,327,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,172,873.25 : 1,333,090,107.56 = 1,333,090,107.56 : x
  2. Step 2: Convert to fraction form
    622,172,873.25/1,333,090,107.56 = 1,333,090,107.56/x
  3. Step 3: Cross multiply
    622,172,873.25x = 1,333,090,107.56 × 1,333,090,107.56
  4. Step 4: Simplify right side
    622,172,873.25x = 1,777,129,234,880,997,888
  5. Step 5: Solve for x
    x = 1,777,129,234,880,997,888/622,172,873.25
  6. Step 6: Final answer
    x = 2,856,327,093.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.