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Finding the Third Proportional to 38,525,584.50 and 52,827,936.75

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Solution

The third proportional to 38,525,584.50 and 52,827,936.75 is: 72,439,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525,584.50 : 52,827,936.75 = 52,827,936.75 : x
  2. Step 2: Convert to fraction form
    38,525,584.50/52,827,936.75 = 52,827,936.75/x
  3. Step 3: Cross multiply
    38,525,584.50x = 52,827,936.75 × 52,827,936.75
  4. Step 4: Simplify right side
    38,525,584.50x = 2,790,790,901,262,000.50
  5. Step 5: Solve for x
    x = 2,790,790,901,262,000.50/38,525,584.50
  6. Step 6: Final answer
    x = 72,439,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.