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Finding the Third Proportional to 3,029,969 and 6,630,016

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Solution

The third proportional to 3,029,969 and 6,630,016 is: 14,507,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,969 : 6,630,016 = 6,630,016 : x
  2. Step 2: Convert to fraction form
    3,029,969/6,630,016 = 6,630,016/x
  3. Step 3: Cross multiply
    3,029,969x = 6,630,016 × 6,630,016
  4. Step 4: Simplify right side
    3,029,969x = 43,957,112,160,256
  5. Step 5: Solve for x
    x = 43,957,112,160,256/3,029,969
  6. Step 6: Final answer
    x = 14,507,446.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.