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Finding the Third Proportional to 3,277,050 and 6,711,564

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Solution

The third proportional to 3,277,050 and 6,711,564 is: 13,745,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,050 : 6,711,564 = 6,711,564 : x
  2. Step 2: Convert to fraction form
    3,277,050/6,711,564 = 6,711,564/x
  3. Step 3: Cross multiply
    3,277,050x = 6,711,564 × 6,711,564
  4. Step 4: Simplify right side
    3,277,050x = 45,045,091,326,096
  5. Step 5: Solve for x
    x = 45,045,091,326,096/3,277,050
  6. Step 6: Final answer
    x = 13,745,622.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.