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Finding the Third Proportional to 322,089,177,220 and 700,727,600,216

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Solution

The third proportional to 322,089,177,220 and 700,727,600,216 is: 1,524,482,051,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,089,177,220 : 700,727,600,216 = 700,727,600,216 : x
  2. Step 2: Convert to fraction form
    322,089,177,220/700,727,600,216 = 700,727,600,216/x
  3. Step 3: Cross multiply
    322,089,177,220x = 700,727,600,216 × 700,727,600,216
  4. Step 4: Simplify right side
    322,089,177,220x = 491,019,169,704,474,354,647,040
  5. Step 5: Solve for x
    x = 491,019,169,704,474,354,647,040/322,089,177,220
  6. Step 6: Final answer
    x = 1,524,482,051,655.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.