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Finding the Third Proportional to 17,644,148 and 38,219,520

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Solution

The third proportional to 17,644,148 and 38,219,520 is: 82,788,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644,148 : 38,219,520 = 38,219,520 : x
  2. Step 2: Convert to fraction form
    17,644,148/38,219,520 = 38,219,520/x
  3. Step 3: Cross multiply
    17,644,148x = 38,219,520 × 38,219,520
  4. Step 4: Simplify right side
    17,644,148x = 1,460,731,709,030,400
  5. Step 5: Solve for x
    x = 1,460,731,709,030,400/17,644,148
  6. Step 6: Final answer
    x = 82,788,452.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.