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Finding the Third Proportional to 8,267,979 and 12,165,770.25

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Solution

The third proportional to 8,267,979 and 12,165,770.25 is: 17,901,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267,979 : 12,165,770.25 = 12,165,770.25 : x
  2. Step 2: Convert to fraction form
    8,267,979/12,165,770.25 = 12,165,770.25/x
  3. Step 3: Cross multiply
    8,267,979x = 12,165,770.25 × 12,165,770.25
  4. Step 4: Simplify right side
    8,267,979x = 148,005,965,775,785.06
  5. Step 5: Solve for x
    x = 148,005,965,775,785.06/8,267,979
  6. Step 6: Final answer
    x = 17,901,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.