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Finding the Third Proportional to 624,844,039,704.75 and 955,941,419,794.50

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Solution

The third proportional to 624,844,039,704.75 and 955,941,419,794.50 is: 1,462,483,339,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,844,039,704.75 : 955,941,419,794.50 = 955,941,419,794.50 : x
  2. Step 2: Convert to fraction form
    624,844,039,704.75/955,941,419,794.50 = 955,941,419,794.50/x
  3. Step 3: Cross multiply
    624,844,039,704.75x = 955,941,419,794.50 × 955,941,419,794.50
  4. Step 4: Simplify right side
    624,844,039,704.75x = 913,823,998,078,724,452,909,056
  5. Step 5: Solve for x
    x = 913,823,998,078,724,452,909,056/624,844,039,704.75
  6. Step 6: Final answer
    x = 1,462,483,339,859.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.