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Finding the Third Proportional to 5,280,206.06 and 10,965,083.06

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Solution

The third proportional to 5,280,206.06 and 10,965,083.06 is: 22,770,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,206.06 : 10,965,083.06 = 10,965,083.06 : x
  2. Step 2: Convert to fraction form
    5,280,206.06/10,965,083.06 = 10,965,083.06/x
  3. Step 3: Cross multiply
    5,280,206.06x = 10,965,083.06 × 10,965,083.06
  4. Step 4: Simplify right side
    5,280,206.06x = 120,233,046,567,524.38
  5. Step 5: Solve for x
    x = 120,233,046,567,524.38/5,280,206.06
  6. Step 6: Final answer
    x = 22,770,521.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.