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Finding the Third Proportional to 4,332,861 and 6,057,166.50

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Solution

The third proportional to 4,332,861 and 6,057,166.50 is: 8,467,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,861 : 6,057,166.50 = 6,057,166.50 : x
  2. Step 2: Convert to fraction form
    4,332,861/6,057,166.50 = 6,057,166.50/x
  3. Step 3: Cross multiply
    4,332,861x = 6,057,166.50 × 6,057,166.50
  4. Step 4: Simplify right side
    4,332,861x = 36,689,266,008,722.25
  5. Step 5: Solve for x
    x = 36,689,266,008,722.25/4,332,861
  6. Step 6: Final answer
    x = 8,467,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.