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Finding the Third Proportional to 730,777,703.25 and 1,705,206,900.75

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Solution

The third proportional to 730,777,703.25 and 1,705,206,900.75 is: 3,978,953,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,703.25 : 1,705,206,900.75 = 1,705,206,900.75 : x
  2. Step 2: Convert to fraction form
    730,777,703.25/1,705,206,900.75 = 1,705,206,900.75/x
  3. Step 3: Cross multiply
    730,777,703.25x = 1,705,206,900.75 × 1,705,206,900.75
  4. Step 4: Simplify right side
    730,777,703.25x = 2,907,730,574,365,420,544
  5. Step 5: Solve for x
    x = 2,907,730,574,365,420,544/730,777,703.25
  6. Step 6: Final answer
    x = 3,978,953,601.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.