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Finding the Third Proportional to 33,112,979,086 and 49,657,306,916

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Solution

The third proportional to 33,112,979,086 and 49,657,306,916 is: 74,467,722,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112,979,086 : 49,657,306,916 = 49,657,306,916 : x
  2. Step 2: Convert to fraction form
    33,112,979,086/49,657,306,916 = 49,657,306,916/x
  3. Step 3: Cross multiply
    33,112,979,086x = 49,657,306,916 × 49,657,306,916
  4. Step 4: Simplify right side
    33,112,979,086x = 2,465,848,130,149,821,186,048
  5. Step 5: Solve for x
    x = 2,465,848,130,149,821,186,048/33,112,979,086
  6. Step 6: Final answer
    x = 74,467,722,271.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.