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Finding the Third Proportional to 8,019,240.75 and 11,586,421.13

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Solution

The third proportional to 8,019,240.75 and 11,586,421.13 is: 16,740,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019,240.75 : 11,586,421.13 = 11,586,421.13 : x
  2. Step 2: Convert to fraction form
    8,019,240.75/11,586,421.13 = 11,586,421.13/x
  3. Step 3: Cross multiply
    8,019,240.75x = 11,586,421.13 × 11,586,421.13
  4. Step 4: Simplify right side
    8,019,240.75x = 134,245,154,485,846.27
  5. Step 5: Solve for x
    x = 134,245,154,485,846.27/8,019,240.75
  6. Step 6: Final answer
    x = 16,740,382.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.