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Finding the Third Proportional to 2,771,782,922 and 3,765,583,191

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Solution

The third proportional to 2,771,782,922 and 3,765,583,191 is: 5,115,702,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,782,922 : 3,765,583,191 = 3,765,583,191 : x
  2. Step 2: Convert to fraction form
    2,771,782,922/3,765,583,191 = 3,765,583,191/x
  3. Step 3: Cross multiply
    2,771,782,922x = 3,765,583,191 × 3,765,583,191
  4. Step 4: Simplify right side
    2,771,782,922x = 14,179,616,768,341,741,568
  5. Step 5: Solve for x
    x = 14,179,616,768,341,741,568/2,771,782,922
  6. Step 6: Final answer
    x = 5,115,702,480.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.