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Finding the Third Proportional to 359,585,330 and 789,162,164

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Solution

The third proportional to 359,585,330 and 789,162,164 is: 1,731,930,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,585,330 : 789,162,164 = 789,162,164 : x
  2. Step 2: Convert to fraction form
    359,585,330/789,162,164 = 789,162,164/x
  3. Step 3: Cross multiply
    359,585,330x = 789,162,164 × 789,162,164
  4. Step 4: Simplify right side
    359,585,330x = 622,776,921,089,162,880
  5. Step 5: Solve for x
    x = 622,776,921,089,162,880/359,585,330
  6. Step 6: Final answer
    x = 1,731,930,835.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.