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Finding the Third Proportional to 764,500,226.91 and 1,180,548,101.67

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Solution

The third proportional to 764,500,226.91 and 1,180,548,101.67 is: 1,823,012,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,500,226.91 : 1,180,548,101.67 = 1,180,548,101.67 : x
  2. Step 2: Convert to fraction form
    764,500,226.91/1,180,548,101.67 = 1,180,548,101.67/x
  3. Step 3: Cross multiply
    764,500,226.91x = 1,180,548,101.67 × 1,180,548,101.67
  4. Step 4: Simplify right side
    764,500,226.91x = 1,393,693,820,361,126,912
  5. Step 5: Solve for x
    x = 1,393,693,820,361,126,912/764,500,226.91
  6. Step 6: Final answer
    x = 1,823,012,958.41

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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.