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Finding the Third Proportional to 764,680,672.13 and 1,180,800,743.63

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Solution

The third proportional to 764,680,672.13 and 1,180,800,743.63 is: 1,823,362,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,672.13 : 1,180,800,743.63 = 1,180,800,743.63 : x
  2. Step 2: Convert to fraction form
    764,680,672.13/1,180,800,743.63 = 1,180,800,743.63/x
  3. Step 3: Cross multiply
    764,680,672.13x = 1,180,800,743.63 × 1,180,800,743.63
  4. Step 4: Simplify right side
    764,680,672.13x = 1,394,290,396,145,352,960
  5. Step 5: Solve for x
    x = 1,394,290,396,145,352,960/764,680,672.13
  6. Step 6: Final answer
    x = 1,823,362,936.94

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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.