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Finding the Third Proportional to 6,097,740.75 and 13,200,225

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Solution

The third proportional to 6,097,740.75 and 13,200,225 is: 28,575,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,740.75 : 13,200,225 = 13,200,225 : x
  2. Step 2: Convert to fraction form
    6,097,740.75/13,200,225 = 13,200,225/x
  3. Step 3: Cross multiply
    6,097,740.75x = 13,200,225 × 13,200,225
  4. Step 4: Simplify right side
    6,097,740.75x = 174,245,940,050,625
  5. Step 5: Solve for x
    x = 174,245,940,050,625/6,097,740.75
  6. Step 6: Final answer
    x = 28,575,491.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.