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Finding the Third Proportional to 993,569,405,716 and 2,161,222,444,712

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Solution

The third proportional to 993,569,405,716 and 2,161,222,444,712 is: 4,701,113,408,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,569,405,716 : 2,161,222,444,712 = 2,161,222,444,712 : x
  2. Step 2: Convert to fraction form
    993,569,405,716/2,161,222,444,712 = 2,161,222,444,712/x
  3. Step 3: Cross multiply
    993,569,405,716x = 2,161,222,444,712 × 2,161,222,444,712
  4. Step 4: Simplify right side
    993,569,405,716x = 4,670,882,455,526,914,136,211,456
  5. Step 5: Solve for x
    x = 4,670,882,455,526,914,136,211,456/993,569,405,716
  6. Step 6: Final answer
    x = 4,701,113,408,540.31

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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.