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Finding the Third Proportional to 6,896,974.50 and 16,258,092.75

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Solution

The third proportional to 6,896,974.50 and 16,258,092.75 is: 38,324,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,974.50 : 16,258,092.75 = 16,258,092.75 : x
  2. Step 2: Convert to fraction form
    6,896,974.50/16,258,092.75 = 16,258,092.75/x
  3. Step 3: Cross multiply
    6,896,974.50x = 16,258,092.75 × 16,258,092.75
  4. Step 4: Simplify right side
    6,896,974.50x = 264,325,579,867,602.56
  5. Step 5: Solve for x
    x = 264,325,579,867,602.56/6,896,974.50
  6. Step 6: Final answer
    x = 38,324,859.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.