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Finding the Third Proportional to 51,048,826 and 77,181,005

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Solution

The third proportional to 51,048,826 and 77,181,005 is: 116,690,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,826 : 77,181,005 = 77,181,005 : x
  2. Step 2: Convert to fraction form
    51,048,826/77,181,005 = 77,181,005/x
  3. Step 3: Cross multiply
    51,048,826x = 77,181,005 × 77,181,005
  4. Step 4: Simplify right side
    51,048,826x = 5,956,907,532,810,025
  5. Step 5: Solve for x
    x = 5,956,907,532,810,025/51,048,826
  6. Step 6: Final answer
    x = 116,690,392.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.