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Finding the Third Proportional to 194,787,851,961.75 and 418,890,605,841

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Solution

The third proportional to 194,787,851,961.75 and 418,890,605,841 is: 900,822,807,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,851,961.75 : 418,890,605,841 = 418,890,605,841 : x
  2. Step 2: Convert to fraction form
    194,787,851,961.75/418,890,605,841 = 418,890,605,841/x
  3. Step 3: Cross multiply
    194,787,851,961.75x = 418,890,605,841 × 418,890,605,841
  4. Step 4: Simplify right side
    194,787,851,961.75x = 175,469,339,661,840,024,600,576
  5. Step 5: Solve for x
    x = 175,469,339,661,840,024,600,576/194,787,851,961.75
  6. Step 6: Final answer
    x = 900,822,807,452.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.