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Finding the Third Proportional to 8,344,971 and 17,887,608

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Solution

The third proportional to 8,344,971 and 17,887,608 is: 38,342,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,971 : 17,887,608 = 17,887,608 : x
  2. Step 2: Convert to fraction form
    8,344,971/17,887,608 = 17,887,608/x
  3. Step 3: Cross multiply
    8,344,971x = 17,887,608 × 17,887,608
  4. Step 4: Simplify right side
    8,344,971x = 319,966,519,961,664
  5. Step 5: Solve for x
    x = 319,966,519,961,664/8,344,971
  6. Step 6: Final answer
    x = 38,342,436.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.