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Finding the Third Proportional to 999,467,907,729 and 1,522,620,222,612

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Solution

The third proportional to 999,467,907,729 and 1,522,620,222,612 is: 2,319,606,587,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,467,907,729 : 1,522,620,222,612 = 1,522,620,222,612 : x
  2. Step 2: Convert to fraction form
    999,467,907,729/1,522,620,222,612 = 1,522,620,222,612/x
  3. Step 3: Cross multiply
    999,467,907,729x = 1,522,620,222,612 × 1,522,620,222,612
  4. Step 4: Simplify right side
    999,467,907,729x = 2,318,372,342,307,016,421,670,912
  5. Step 5: Solve for x
    x = 2,318,372,342,307,016,421,670,912/999,467,907,729
  6. Step 6: Final answer
    x = 2,319,606,587,043.74

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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.