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Finding the Third Proportional to 327,837,690.14 and 668,844,460.58

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Solution

The third proportional to 327,837,690.14 and 668,844,460.58 is: 1,364,556,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,837,690.14 : 668,844,460.58 = 668,844,460.58 : x
  2. Step 2: Convert to fraction form
    327,837,690.14/668,844,460.58 = 668,844,460.58/x
  3. Step 3: Cross multiply
    327,837,690.14x = 668,844,460.58 × 668,844,460.58
  4. Step 4: Simplify right side
    327,837,690.14x = 447,352,912,451,253,376
  5. Step 5: Solve for x
    x = 447,352,912,451,253,376/327,837,690.14
  6. Step 6: Final answer
    x = 1,364,556,077.31

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.