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Finding the Third Proportional to 764,680,672.13 and 1,180,800,762.19

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Solution

The third proportional to 764,680,672.13 and 1,180,800,762.19 is: 1,823,362,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,672.13 : 1,180,800,762.19 = 1,180,800,762.19 : x
  2. Step 2: Convert to fraction form
    764,680,672.13/1,180,800,762.19 = 1,180,800,762.19/x
  3. Step 3: Cross multiply
    764,680,672.13x = 1,180,800,762.19 × 1,180,800,762.19
  4. Step 4: Simplify right side
    764,680,672.13x = 1,394,290,439,982,580,992
  5. Step 5: Solve for x
    x = 1,394,290,439,982,580,992/764,680,672.13
  6. Step 6: Final answer
    x = 1,823,362,994.27

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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.