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Finding the Third Proportional to 4,191,006 and 9,205,002

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Solution

The third proportional to 4,191,006 and 9,205,002 is: 20,217,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,006 : 9,205,002 = 9,205,002 : x
  2. Step 2: Convert to fraction form
    4,191,006/9,205,002 = 9,205,002/x
  3. Step 3: Cross multiply
    4,191,006x = 9,205,002 × 9,205,002
  4. Step 4: Simplify right side
    4,191,006x = 84,732,061,820,004
  5. Step 5: Solve for x
    x = 84,732,061,820,004/4,191,006
  6. Step 6: Final answer
    x = 20,217,594.97

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