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Finding the Third Proportional to 764,680,645.13 and 1,180,800,676.13

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Solution

The third proportional to 764,680,645.13 and 1,180,800,676.13 is: 1,823,362,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,645.13 : 1,180,800,676.13 = 1,180,800,676.13 : x
  2. Step 2: Convert to fraction form
    764,680,645.13/1,180,800,676.13 = 1,180,800,676.13/x
  3. Step 3: Cross multiply
    764,680,645.13x = 1,180,800,676.13 × 1,180,800,676.13
  4. Step 4: Simplify right side
    764,680,645.13x = 1,394,290,236,737,257,216
  5. Step 5: Solve for x
    x = 1,394,290,236,737,257,216/764,680,645.13
  6. Step 6: Final answer
    x = 1,823,362,792.85

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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.