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Finding the Third Proportional to 4,191,016 and 9,205,006

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Solution

The third proportional to 4,191,016 and 9,205,006 is: 20,217,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,016 : 9,205,006 = 9,205,006 : x
  2. Step 2: Convert to fraction form
    4,191,016/9,205,006 = 9,205,006/x
  3. Step 3: Cross multiply
    4,191,016x = 9,205,006 × 9,205,006
  4. Step 4: Simplify right side
    4,191,016x = 84,732,135,460,036
  5. Step 5: Solve for x
    x = 84,732,135,460,036/4,191,016
  6. Step 6: Final answer
    x = 20,217,564.30

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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.