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Finding the Third Proportional to 993,569,405,720 and 2,161,222,444,720

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Solution

The third proportional to 993,569,405,720 and 2,161,222,444,720 is: 4,701,113,408,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,569,405,720 : 2,161,222,444,720 = 2,161,222,444,720 : x
  2. Step 2: Convert to fraction form
    993,569,405,720/2,161,222,444,720 = 2,161,222,444,720/x
  3. Step 3: Cross multiply
    993,569,405,720x = 2,161,222,444,720 × 2,161,222,444,720
  4. Step 4: Simplify right side
    993,569,405,720x = 4,670,882,455,561,493,454,782,464
  5. Step 5: Solve for x
    x = 4,670,882,455,561,493,454,782,464/993,569,405,720
  6. Step 6: Final answer
    x = 4,701,113,408,556.19

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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.