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Finding the Third Proportional to 4,690,147 and 7,007,610

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Solution

The third proportional to 4,690,147 and 7,007,610 is: 10,470,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,147 : 7,007,610 = 7,007,610 : x
  2. Step 2: Convert to fraction form
    4,690,147/7,007,610 = 7,007,610/x
  3. Step 3: Cross multiply
    4,690,147x = 7,007,610 × 7,007,610
  4. Step 4: Simplify right side
    4,690,147x = 49,106,597,912,100
  5. Step 5: Solve for x
    x = 49,106,597,912,100/4,690,147
  6. Step 6: Final answer
    x = 10,470,161.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.