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Finding the Third Proportional to 19,100,170 and 29,618,511

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Solution

The third proportional to 19,100,170 and 29,618,511 is: 45,929,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100,170 : 29,618,511 = 29,618,511 : x
  2. Step 2: Convert to fraction form
    19,100,170/29,618,511 = 29,618,511/x
  3. Step 3: Cross multiply
    19,100,170x = 29,618,511 × 29,618,511
  4. Step 4: Simplify right side
    19,100,170x = 877,256,193,857,121
  5. Step 5: Solve for x
    x = 877,256,193,857,121/19,100,170
  6. Step 6: Final answer
    x = 45,929,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.