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Finding the Third Proportional to 8,036,586 and 12,073,099.50

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Solution

The third proportional to 8,036,586 and 12,073,099.50 is: 18,137,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036,586 : 12,073,099.50 = 12,073,099.50 : x
  2. Step 2: Convert to fraction form
    8,036,586/12,073,099.50 = 12,073,099.50/x
  3. Step 3: Cross multiply
    8,036,586x = 12,073,099.50 × 12,073,099.50
  4. Step 4: Simplify right side
    8,036,586x = 145,759,731,536,900.25
  5. Step 5: Solve for x
    x = 145,759,731,536,900.25/8,036,586
  6. Step 6: Final answer
    x = 18,137,021.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.