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Finding the Third Proportional to 17,857,774 and 38,759,851

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Solution

The third proportional to 17,857,774 and 38,759,851 is: 84,127,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857,774 : 38,759,851 = 38,759,851 : x
  2. Step 2: Convert to fraction form
    17,857,774/38,759,851 = 38,759,851/x
  3. Step 3: Cross multiply
    17,857,774x = 38,759,851 × 38,759,851
  4. Step 4: Simplify right side
    17,857,774x = 1,502,326,049,542,201
  5. Step 5: Solve for x
    x = 1,502,326,049,542,201/17,857,774
  6. Step 6: Final answer
    x = 84,127,285.38

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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.