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Finding the Third Proportional to 3,102,609 and 6,763,863

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Solution

The third proportional to 3,102,609 and 6,763,863 is: 14,745,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,609 : 6,763,863 = 6,763,863 : x
  2. Step 2: Convert to fraction form
    3,102,609/6,763,863 = 6,763,863/x
  3. Step 3: Cross multiply
    3,102,609x = 6,763,863 × 6,763,863
  4. Step 4: Simplify right side
    3,102,609x = 45,749,842,682,769
  5. Step 5: Solve for x
    x = 45,749,842,682,769/3,102,609
  6. Step 6: Final answer
    x = 14,745,603.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.