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Finding the Third Proportional to 39,864,297,939 and 94,103,485,993.50

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Solution

The third proportional to 39,864,297,939 and 94,103,485,993.50 is: 222,140,274,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864,297,939 : 94,103,485,993.50 = 94,103,485,993.50 : x
  2. Step 2: Convert to fraction form
    39,864,297,939/94,103,485,993.50 = 94,103,485,993.50/x
  3. Step 3: Cross multiply
    39,864,297,939x = 94,103,485,993.50 × 94,103,485,993.50
  4. Step 4: Simplify right side
    39,864,297,939x = 8,855,466,076,128,851,001,344
  5. Step 5: Solve for x
    x = 8,855,466,076,128,851,001,344/39,864,297,939
  6. Step 6: Final answer
    x = 222,140,274,229.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.