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Finding the Third Proportional to 17,027,511 and 25,516,296

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Solution

The third proportional to 17,027,511 and 25,516,296 is: 38,237,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027,511 : 25,516,296 = 25,516,296 : x
  2. Step 2: Convert to fraction form
    17,027,511/25,516,296 = 25,516,296/x
  3. Step 3: Cross multiply
    17,027,511x = 25,516,296 × 25,516,296
  4. Step 4: Simplify right side
    17,027,511x = 651,081,361,559,616
  5. Step 5: Solve for x
    x = 651,081,361,559,616/17,027,511
  6. Step 6: Final answer
    x = 38,237,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.