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Finding the Third Proportional to 51,381,265 and 74,237,055

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Solution

The third proportional to 51,381,265 and 74,237,055 is: 107,259,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381,265 : 74,237,055 = 74,237,055 : x
  2. Step 2: Convert to fraction form
    51,381,265/74,237,055 = 74,237,055/x
  3. Step 3: Cross multiply
    51,381,265x = 74,237,055 × 74,237,055
  4. Step 4: Simplify right side
    51,381,265x = 5,511,140,335,073,025
  5. Step 5: Solve for x
    x = 5,511,140,335,073,025/51,381,265
  6. Step 6: Final answer
    x = 107,259,724.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.