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Finding the Third Proportional to 17,644,128 and 38,219,488

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Solution

The third proportional to 17,644,128 and 38,219,488 is: 82,788,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644,128 : 38,219,488 = 38,219,488 : x
  2. Step 2: Convert to fraction form
    17,644,128/38,219,488 = 38,219,488/x
  3. Step 3: Cross multiply
    17,644,128x = 38,219,488 × 38,219,488
  4. Step 4: Simplify right side
    17,644,128x = 1,460,729,262,982,144
  5. Step 5: Solve for x
    x = 1,460,729,262,982,144/17,644,128
  6. Step 6: Final answer
    x = 82,788,407.73

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