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Finding the Third Proportional to 4,723,197 and 9,782,463

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Solution

The third proportional to 4,723,197 and 9,782,463 is: 20,260,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,197 : 9,782,463 = 9,782,463 : x
  2. Step 2: Convert to fraction form
    4,723,197/9,782,463 = 9,782,463/x
  3. Step 3: Cross multiply
    4,723,197x = 9,782,463 × 9,782,463
  4. Step 4: Simplify right side
    4,723,197x = 95,696,582,346,369
  5. Step 5: Solve for x
    x = 95,696,582,346,369/4,723,197
  6. Step 6: Final answer
    x = 20,260,976.27

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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.