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Finding the Third Proportional to 9,447,568,735 and 20,297,187,083

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Solution

The third proportional to 9,447,568,735 and 20,297,187,083 is: 43,606,542,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,568,735 : 20,297,187,083 = 20,297,187,083 : x
  2. Step 2: Convert to fraction form
    9,447,568,735/20,297,187,083 = 20,297,187,083/x
  3. Step 3: Cross multiply
    9,447,568,735x = 20,297,187,083 × 20,297,187,083
  4. Step 4: Simplify right side
    9,447,568,735x = 411,975,803,482,302,054,400
  5. Step 5: Solve for x
    x = 411,975,803,482,302,054,400/9,447,568,735
  6. Step 6: Final answer
    x = 43,606,542,067.92

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Why These Related Problems?

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