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Finding the Third Proportional to 3,277,534 and 6,685,154

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Solution

The third proportional to 3,277,534 and 6,685,154 is: 13,635,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,534 : 6,685,154 = 6,685,154 : x
  2. Step 2: Convert to fraction form
    3,277,534/6,685,154 = 6,685,154/x
  3. Step 3: Cross multiply
    3,277,534x = 6,685,154 × 6,685,154
  4. Step 4: Simplify right side
    3,277,534x = 44,691,284,003,716
  5. Step 5: Solve for x
    x = 44,691,284,003,716/3,277,534
  6. Step 6: Final answer
    x = 13,635,643.14

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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.