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Finding the Third Proportional to 338,525,581.50 and 467,765,450.44

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Solution

The third proportional to 338,525,581.50 and 467,765,450.44 is: 646,345,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525,581.50 : 467,765,450.44 = 467,765,450.44 : x
  2. Step 2: Convert to fraction form
    338,525,581.50/467,765,450.44 = 467,765,450.44/x
  3. Step 3: Cross multiply
    338,525,581.50x = 467,765,450.44 × 467,765,450.44
  4. Step 4: Simplify right side
    338,525,581.50x = 218,804,516,622,997,280
  5. Step 5: Solve for x
    x = 218,804,516,622,997,280/338,525,581.50
  6. Step 6: Final answer
    x = 646,345,589.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.