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Finding the Third Proportional to 300,265,568 and 646,603,935

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Solution

The third proportional to 300,265,568 and 646,603,935 is: 1,392,422,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,265,568 : 646,603,935 = 646,603,935 : x
  2. Step 2: Convert to fraction form
    300,265,568/646,603,935 = 646,603,935/x
  3. Step 3: Cross multiply
    300,265,568x = 646,603,935 × 646,603,935
  4. Step 4: Simplify right side
    300,265,568x = 418,096,648,757,484,224
  5. Step 5: Solve for x
    x = 418,096,648,757,484,224/300,265,568
  6. Step 6: Final answer
    x = 1,392,422,885.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.