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Finding the Third Proportional to 3,277,829 and 6,685,663

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Solution

The third proportional to 3,277,829 and 6,685,663 is: 13,636,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,829 : 6,685,663 = 6,685,663 : x
  2. Step 2: Convert to fraction form
    3,277,829/6,685,663 = 6,685,663/x
  3. Step 3: Cross multiply
    3,277,829x = 6,685,663 × 6,685,663
  4. Step 4: Simplify right side
    3,277,829x = 44,698,089,749,569
  5. Step 5: Solve for x
    x = 44,698,089,749,569/3,277,829
  6. Step 6: Final answer
    x = 13,636,492.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.