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Finding the Third Proportional to 4,723,079 and 9,782,214

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Solution

The third proportional to 4,723,079 and 9,782,214 is: 20,260,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,079 : 9,782,214 = 9,782,214 : x
  2. Step 2: Convert to fraction form
    4,723,079/9,782,214 = 9,782,214/x
  3. Step 3: Cross multiply
    4,723,079x = 9,782,214 × 9,782,214
  4. Step 4: Simplify right side
    4,723,079x = 95,691,710,741,796
  5. Step 5: Solve for x
    x = 95,691,710,741,796/4,723,079
  6. Step 6: Final answer
    x = 20,260,451.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.