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Finding the Third Proportional to 9,314,036,662 and 20,313,815,914

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Solution

The third proportional to 9,314,036,662 and 20,313,815,914 is: 44,304,218,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314,036,662 : 20,313,815,914 = 20,313,815,914 : x
  2. Step 2: Convert to fraction form
    9,314,036,662/20,313,815,914 = 20,313,815,914/x
  3. Step 3: Cross multiply
    9,314,036,662x = 20,313,815,914 × 20,313,815,914
  4. Step 4: Simplify right side
    9,314,036,662x = 412,651,116,987,879,653,376
  5. Step 5: Solve for x
    x = 412,651,116,987,879,653,376/9,314,036,662
  6. Step 6: Final answer
    x = 44,304,218,671.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.