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Finding the Third Proportional to 1,697,483,169,636 and 3,702,192,928,245

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Solution

The third proportional to 1,697,483,169,636 and 3,702,192,928,245 is: 8,074,443,813,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,483,169,636 : 3,702,192,928,245 = 3,702,192,928,245 : x
  2. Step 2: Convert to fraction form
    1,697,483,169,636/3,702,192,928,245 = 3,702,192,928,245/x
  3. Step 3: Cross multiply
    1,697,483,169,636x = 3,702,192,928,245 × 3,702,192,928,245
  4. Step 4: Simplify right side
    1,697,483,169,636x = 13,706,232,477,947,287,874,568,192
  5. Step 5: Solve for x
    x = 13,706,232,477,947,287,874,568,192/1,697,483,169,636
  6. Step 6: Final answer
    x = 8,074,443,813,711.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.