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Finding the Third Proportional to 764,680,851.84 and 1,180,800,981.14

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Solution

The third proportional to 764,680,851.84 and 1,180,800,981.14 is: 1,823,363,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,680,851.84 : 1,180,800,981.14 = 1,180,800,981.14 : x
  2. Step 2: Convert to fraction form
    764,680,851.84/1,180,800,981.14 = 1,180,800,981.14/x
  3. Step 3: Cross multiply
    764,680,851.84x = 1,180,800,981.14 × 1,180,800,981.14
  4. Step 4: Simplify right side
    764,680,851.84x = 1,394,290,957,062,603,520
  5. Step 5: Solve for x
    x = 1,394,290,957,062,603,520/764,680,851.84
  6. Step 6: Final answer
    x = 1,823,363,241.93

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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.