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Finding the Third Proportional to 3,427,837,750 and 4,827,150,900

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Solution

The third proportional to 3,427,837,750 and 4,827,150,900 is: 6,797,692,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,837,750 : 4,827,150,900 = 4,827,150,900 : x
  2. Step 2: Convert to fraction form
    3,427,837,750/4,827,150,900 = 4,827,150,900/x
  3. Step 3: Cross multiply
    3,427,837,750x = 4,827,150,900 × 4,827,150,900
  4. Step 4: Simplify right side
    3,427,837,750x = 23,301,385,811,370,811,392
  5. Step 5: Solve for x
    x = 23,301,385,811,370,811,392/3,427,837,750
  6. Step 6: Final answer
    x = 6,797,692,163.63

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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.