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Finding the Third Proportional to 284,471,928 and 620,631,104

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Solution

The third proportional to 284,471,928 and 620,631,104 is: 1,354,028,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,471,928 : 620,631,104 = 620,631,104 : x
  2. Step 2: Convert to fraction form
    284,471,928/620,631,104 = 620,631,104/x
  3. Step 3: Cross multiply
    284,471,928x = 620,631,104 × 620,631,104
  4. Step 4: Simplify right side
    284,471,928x = 385,182,967,252,258,816
  5. Step 5: Solve for x
    x = 385,182,967,252,258,816/284,471,928
  6. Step 6: Final answer
    x = 1,354,028,040.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.