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Finding the Third Proportional to 678,477,330 and 1,469,616,615

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Solution

The third proportional to 678,477,330 and 1,469,616,615 is: 3,183,264,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,477,330 : 1,469,616,615 = 1,469,616,615 : x
  2. Step 2: Convert to fraction form
    678,477,330/1,469,616,615 = 1,469,616,615/x
  3. Step 3: Cross multiply
    678,477,330x = 1,469,616,615 × 1,469,616,615
  4. Step 4: Simplify right side
    678,477,330x = 2,159,772,995,084,058,112
  5. Step 5: Solve for x
    x = 2,159,772,995,084,058,112/678,477,330
  6. Step 6: Final answer
    x = 3,183,264,789.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.