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Finding the Third Proportional to 993,569,372,562 and 2,161,222,380,690

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Solution

The third proportional to 993,569,372,562 and 2,161,222,380,690 is: 4,701,113,286,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,569,372,562 : 2,161,222,380,690 = 2,161,222,380,690 : x
  2. Step 2: Convert to fraction form
    993,569,372,562/2,161,222,380,690 = 2,161,222,380,690/x
  3. Step 3: Cross multiply
    993,569,372,562x = 2,161,222,380,690 × 2,161,222,380,690
  4. Step 4: Simplify right side
    993,569,372,562x = 4,670,882,178,795,351,383,736,320
  5. Step 5: Solve for x
    x = 4,670,882,178,795,351,383,736,320/993,569,372,562
  6. Step 6: Final answer
    x = 4,701,113,286,887.15

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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.