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Finding the Third Proportional to 6,481,654 and 13,968,174

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Solution

The third proportional to 6,481,654 and 13,968,174 is: 30,101,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,654 : 13,968,174 = 13,968,174 : x
  2. Step 2: Convert to fraction form
    6,481,654/13,968,174 = 13,968,174/x
  3. Step 3: Cross multiply
    6,481,654x = 13,968,174 × 13,968,174
  4. Step 4: Simplify right side
    6,481,654x = 195,109,884,894,276
  5. Step 5: Solve for x
    x = 195,109,884,894,276/6,481,654
  6. Step 6: Final answer
    x = 30,101,866.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.