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Finding the Third Proportional to 775,231,650 and 1,163,414,457

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Solution

The third proportional to 775,231,650 and 1,163,414,457 is: 1,745,972,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,231,650 : 1,163,414,457 = 1,163,414,457 : x
  2. Step 2: Convert to fraction form
    775,231,650/1,163,414,457 = 1,163,414,457/x
  3. Step 3: Cross multiply
    775,231,650x = 1,163,414,457 × 1,163,414,457
  4. Step 4: Simplify right side
    775,231,650x = 1,353,533,198,756,604,928
  5. Step 5: Solve for x
    x = 1,353,533,198,756,604,928/775,231,650
  6. Step 6: Final answer
    x = 1,745,972,573.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.