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Finding the Third Proportional to 4,787,474 and 10,475,812

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Solution

The third proportional to 4,787,474 and 10,475,812 is: 22,922,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,474 : 10,475,812 = 10,475,812 : x
  2. Step 2: Convert to fraction form
    4,787,474/10,475,812 = 10,475,812/x
  3. Step 3: Cross multiply
    4,787,474x = 10,475,812 × 10,475,812
  4. Step 4: Simplify right side
    4,787,474x = 109,742,637,059,344
  5. Step 5: Solve for x
    x = 109,742,637,059,344/4,787,474
  6. Step 6: Final answer
    x = 22,922,868.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.