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Finding the Third Proportional to 10,217,899 and 17,029,150.50

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Solution

The third proportional to 10,217,899 and 17,029,150.50 is: 28,380,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217,899 : 17,029,150.50 = 17,029,150.50 : x
  2. Step 2: Convert to fraction form
    10,217,899/17,029,150.50 = 17,029,150.50/x
  3. Step 3: Cross multiply
    10,217,899x = 17,029,150.50 × 17,029,150.50
  4. Step 4: Simplify right side
    10,217,899x = 289,991,966,751,650.25
  5. Step 5: Solve for x
    x = 289,991,966,751,650.25/10,217,899
  6. Step 6: Final answer
    x = 28,380,782.27

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.