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Finding the Third Proportional to 3,277,827 and 6,685,659

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Solution

The third proportional to 3,277,827 and 6,685,659 is: 13,636,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,827 : 6,685,659 = 6,685,659 : x
  2. Step 2: Convert to fraction form
    3,277,827/6,685,659 = 6,685,659/x
  3. Step 3: Cross multiply
    3,277,827x = 6,685,659 × 6,685,659
  4. Step 4: Simplify right side
    3,277,827x = 44,698,036,264,281
  5. Step 5: Solve for x
    x = 44,698,036,264,281/3,277,827
  6. Step 6: Final answer
    x = 13,636,484.25

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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.