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Finding the Third Proportional to 7,804,869 and 17,166,693

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Solution

The third proportional to 7,804,869 and 17,166,693 is: 37,757,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804,869 : 17,166,693 = 17,166,693 : x
  2. Step 2: Convert to fraction form
    7,804,869/17,166,693 = 17,166,693/x
  3. Step 3: Cross multiply
    7,804,869x = 17,166,693 × 17,166,693
  4. Step 4: Simplify right side
    7,804,869x = 294,695,348,556,249
  5. Step 5: Solve for x
    x = 294,695,348,556,249/7,804,869
  6. Step 6: Final answer
    x = 37,757,885.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.