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Finding the Third Proportional to 6,135,016 and 12,904,464

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Solution

The third proportional to 6,135,016 and 12,904,464 is: 27,143,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135,016 : 12,904,464 = 12,904,464 : x
  2. Step 2: Convert to fraction form
    6,135,016/12,904,464 = 12,904,464/x
  3. Step 3: Cross multiply
    6,135,016x = 12,904,464 × 12,904,464
  4. Step 4: Simplify right side
    6,135,016x = 166,525,191,127,296
  5. Step 5: Solve for x
    x = 166,525,191,127,296/6,135,016
  6. Step 6: Final answer
    x = 27,143,399.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.