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Finding the Third Proportional to 8,131,584 and 10,840,639.50

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Solution

The third proportional to 8,131,584 and 10,840,639.50 is: 14,452,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131,584 : 10,840,639.50 = 10,840,639.50 : x
  2. Step 2: Convert to fraction form
    8,131,584/10,840,639.50 = 10,840,639.50/x
  3. Step 3: Cross multiply
    8,131,584x = 10,840,639.50 × 10,840,639.50
  4. Step 4: Simplify right side
    8,131,584x = 117,519,464,768,960.25
  5. Step 5: Solve for x
    x = 117,519,464,768,960.25/8,131,584
  6. Step 6: Final answer
    x = 14,452,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.