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Finding the Third Proportional to 17,699,677 and 38,514,188

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Solution

The third proportional to 17,699,677 and 38,514,188 is: 83,806,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699,677 : 38,514,188 = 38,514,188 : x
  2. Step 2: Convert to fraction form
    17,699,677/38,514,188 = 38,514,188/x
  3. Step 3: Cross multiply
    17,699,677x = 38,514,188 × 38,514,188
  4. Step 4: Simplify right side
    17,699,677x = 1,483,342,677,299,344
  5. Step 5: Solve for x
    x = 1,483,342,677,299,344/17,699,677
  6. Step 6: Final answer
    x = 83,806,200.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.