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Finding the Third Proportional to 25,519,509,763,968 and 54,909,524,416,896

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Solution

The third proportional to 25,519,509,763,968 and 54,909,524,416,896 is: 118,147,092,149,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,519,509,763,968 : 54,909,524,416,896 = 54,909,524,416,896 : x
  2. Step 2: Convert to fraction form
    25,519,509,763,968/54,909,524,416,896 = 54,909,524,416,896/x
  3. Step 3: Cross multiply
    25,519,509,763,968x = 54,909,524,416,896 × 54,909,524,416,896
  4. Step 4: Simplify right side
    25,519,509,763,968x = 3,015,055,871,689,697,923,682,009,088
  5. Step 5: Solve for x
    x = 3,015,055,871,689,697,923,682,009,088/25,519,509,763,968
  6. Step 6: Final answer
    x = 118,147,092,149,347.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.