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Finding the Third Proportional to 5,464,300.50 and 8,152,164

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Solution

The third proportional to 5,464,300.50 and 8,152,164 is: 12,162,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,300.50 : 8,152,164 = 8,152,164 : x
  2. Step 2: Convert to fraction form
    5,464,300.50/8,152,164 = 8,152,164/x
  3. Step 3: Cross multiply
    5,464,300.50x = 8,152,164 × 8,152,164
  4. Step 4: Simplify right side
    5,464,300.50x = 66,457,777,882,896
  5. Step 5: Solve for x
    x = 66,457,777,882,896/5,464,300.50
  6. Step 6: Final answer
    x = 12,162,174.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.