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Finding the Third Proportional to 7,775,289.75 and 16,967,709.75

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Solution

The third proportional to 7,775,289.75 and 16,967,709.75 is: 37,027,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,289.75 : 16,967,709.75 = 16,967,709.75 : x
  2. Step 2: Convert to fraction form
    7,775,289.75/16,967,709.75 = 16,967,709.75/x
  3. Step 3: Cross multiply
    7,775,289.75x = 16,967,709.75 × 16,967,709.75
  4. Step 4: Simplify right side
    7,775,289.75x = 287,903,174,160,245.06
  5. Step 5: Solve for x
    x = 287,903,174,160,245.06/7,775,289.75
  6. Step 6: Final answer
    x = 37,027,967.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.