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Finding the Third Proportional to 3,427,837,736 and 4,827,150,880

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Solution

The third proportional to 3,427,837,736 and 4,827,150,880 is: 6,797,692,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,837,736 : 4,827,150,880 = 4,827,150,880 : x
  2. Step 2: Convert to fraction form
    3,427,837,736/4,827,150,880 = 4,827,150,880/x
  3. Step 3: Cross multiply
    3,427,837,736x = 4,827,150,880 × 4,827,150,880
  4. Step 4: Simplify right side
    3,427,837,736x = 23,301,385,618,284,773,376
  5. Step 5: Solve for x
    x = 23,301,385,618,284,773,376/3,427,837,736
  6. Step 6: Final answer
    x = 6,797,692,135.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.