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Finding the Third Proportional to 10,489,500.50 and 16,200,090.75

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Solution

The third proportional to 10,489,500.50 and 16,200,090.75 is: 25,019,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,500.50 : 16,200,090.75 = 16,200,090.75 : x
  2. Step 2: Convert to fraction form
    10,489,500.50/16,200,090.75 = 16,200,090.75/x
  3. Step 3: Cross multiply
    10,489,500.50x = 16,200,090.75 × 16,200,090.75
  4. Step 4: Simplify right side
    10,489,500.50x = 262,442,940,308,235.56
  5. Step 5: Solve for x
    x = 262,442,940,308,235.56/10,489,500.50
  6. Step 6: Final answer
    x = 25,019,584.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.