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Finding the Third Proportional to 219,531,427 and 477,325,147

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Solution

The third proportional to 219,531,427 and 477,325,147 is: 1,037,843,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,427 : 477,325,147 = 477,325,147 : x
  2. Step 2: Convert to fraction form
    219,531,427/477,325,147 = 477,325,147/x
  3. Step 3: Cross multiply
    219,531,427x = 477,325,147 × 477,325,147
  4. Step 4: Simplify right side
    219,531,427x = 227,839,295,958,571,616
  5. Step 5: Solve for x
    x = 227,839,295,958,571,616/219,531,427
  6. Step 6: Final answer
    x = 1,037,843,643.04

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Why These Related Problems?

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