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Finding the Third Proportional to 32,500,978,327.50 and 45,768,539,454.75

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Solution

The third proportional to 32,500,978,327.50 and 45,768,539,454.75 is: 64,452,189,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500,978,327.50 : 45,768,539,454.75 = 45,768,539,454.75 : x
  2. Step 2: Convert to fraction form
    32,500,978,327.50/45,768,539,454.75 = 45,768,539,454.75/x
  3. Step 3: Cross multiply
    32,500,978,327.50x = 45,768,539,454.75 × 45,768,539,454.75
  4. Step 4: Simplify right side
    32,500,978,327.50x = 2,094,759,203,821,007,405,056
  5. Step 5: Solve for x
    x = 2,094,759,203,821,007,405,056/32,500,978,327.50
  6. Step 6: Final answer
    x = 64,452,189,183.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.