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Finding the Third Proportional to 6,000,872 and 12,961,322

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Solution

The third proportional to 6,000,872 and 12,961,322 is: 27,995,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000,872 : 12,961,322 = 12,961,322 : x
  2. Step 2: Convert to fraction form
    6,000,872/12,961,322 = 12,961,322/x
  3. Step 3: Cross multiply
    6,000,872x = 12,961,322 × 12,961,322
  4. Step 4: Simplify right side
    6,000,872x = 167,995,867,987,684
  5. Step 5: Solve for x
    x = 167,995,867,987,684/6,000,872
  6. Step 6: Final answer
    x = 27,995,242.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.