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Finding the Third Proportional to 25,454,978,986 and 51,635,775,158

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Solution

The third proportional to 25,454,978,986 and 51,635,775,158 is: 104,743,880,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454,978,986 : 51,635,775,158 = 51,635,775,158 : x
  2. Step 2: Convert to fraction form
    25,454,978,986/51,635,775,158 = 51,635,775,158/x
  3. Step 3: Cross multiply
    25,454,978,986x = 51,635,775,158 × 51,635,775,158
  4. Step 4: Simplify right side
    25,454,978,986x = 2,666,253,276,167,529,824,256
  5. Step 5: Solve for x
    x = 2,666,253,276,167,529,824,256/25,454,978,986
  6. Step 6: Final answer
    x = 104,743,880,465.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.