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Finding the Third Proportional to 338,525,574.75 and 467,765,440.31

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Solution

The third proportional to 338,525,574.75 and 467,765,440.31 is: 646,345,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525,574.75 : 467,765,440.31 = 467,765,440.31 : x
  2. Step 2: Convert to fraction form
    338,525,574.75/467,765,440.31 = 467,765,440.31/x
  3. Step 3: Cross multiply
    338,525,574.75x = 467,765,440.31 × 467,765,440.31
  4. Step 4: Simplify right side
    338,525,574.75x = 218,804,507,150,747,008
  5. Step 5: Solve for x
    x = 218,804,507,150,747,008/338,525,574.75
  6. Step 6: Final answer
    x = 646,345,574.67

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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.