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Finding the Third Proportional to 2,141,216,736 and 3,273,368,697

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Solution

The third proportional to 2,141,216,736 and 3,273,368,697 is: 5,004,137,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,216,736 : 3,273,368,697 = 3,273,368,697 : x
  2. Step 2: Convert to fraction form
    2,141,216,736/3,273,368,697 = 3,273,368,697/x
  3. Step 3: Cross multiply
    2,141,216,736x = 3,273,368,697 × 3,273,368,697
  4. Step 4: Simplify right side
    2,141,216,736x = 10,714,942,626,499,477,504
  5. Step 5: Solve for x
    x = 10,714,942,626,499,477,504/2,141,216,736
  6. Step 6: Final answer
    x = 5,004,137,342.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.