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Finding the Third Proportional to 7,362,071 and 16,184,567

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Solution

The third proportional to 7,362,071 and 16,184,567 is: 35,579,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362,071 : 16,184,567 = 16,184,567 : x
  2. Step 2: Convert to fraction form
    7,362,071/16,184,567 = 16,184,567/x
  3. Step 3: Cross multiply
    7,362,071x = 16,184,567 × 16,184,567
  4. Step 4: Simplify right side
    7,362,071x = 261,940,208,977,489
  5. Step 5: Solve for x
    x = 261,940,208,977,489/7,362,071
  6. Step 6: Final answer
    x = 35,579,690.68

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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.