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Finding the Third Proportional to 359,586,990 and 789,165,639

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Solution

The third proportional to 359,586,990 and 789,165,639 is: 1,731,938,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,586,990 : 789,165,639 = 789,165,639 : x
  2. Step 2: Convert to fraction form
    359,586,990/789,165,639 = 789,165,639/x
  3. Step 3: Cross multiply
    359,586,990x = 789,165,639 × 789,165,639
  4. Step 4: Simplify right side
    359,586,990x = 622,782,405,778,278,272
  5. Step 5: Solve for x
    x = 622,782,405,778,278,272/359,586,990
  6. Step 6: Final answer
    x = 1,731,938,093.14

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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.