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Finding the Third Proportional to 999,467,907,729 and 1,522,620,222,609

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Solution

The third proportional to 999,467,907,729 and 1,522,620,222,609 is: 2,319,606,587,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,467,907,729 : 1,522,620,222,609 = 1,522,620,222,609 : x
  2. Step 2: Convert to fraction form
    999,467,907,729/1,522,620,222,609 = 1,522,620,222,609/x
  3. Step 3: Cross multiply
    999,467,907,729x = 1,522,620,222,609 × 1,522,620,222,609
  4. Step 4: Simplify right side
    999,467,907,729x = 2,318,372,342,297,880,757,796,864
  5. Step 5: Solve for x
    x = 2,318,372,342,297,880,757,796,864/999,467,907,729
  6. Step 6: Final answer
    x = 2,319,606,587,034.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.