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Finding the Third Proportional to 764,680,959.56 and 1,180,801,149.75

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Solution

The third proportional to 764,680,959.56 and 1,180,801,149.75 is: 1,823,363,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,959.56 : 1,180,801,149.75 = 1,180,801,149.75 : x
  2. Step 2: Convert to fraction form
    764,680,959.56/1,180,801,149.75 = 1,180,801,149.75/x
  3. Step 3: Cross multiply
    764,680,959.56x = 1,180,801,149.75 × 1,180,801,149.75
  4. Step 4: Simplify right side
    764,680,959.56x = 1,394,291,355,250,921,984
  5. Step 5: Solve for x
    x = 1,394,291,355,250,921,984/764,680,959.56
  6. Step 6: Final answer
    x = 1,823,363,505.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.