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Finding the Third Proportional to 360,145,650 and 774,891,944

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Solution

The third proportional to 360,145,650 and 774,891,944 is: 1,667,263,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,145,650 : 774,891,944 = 774,891,944 : x
  2. Step 2: Convert to fraction form
    360,145,650/774,891,944 = 774,891,944/x
  3. Step 3: Cross multiply
    360,145,650x = 774,891,944 × 774,891,944
  4. Step 4: Simplify right side
    360,145,650x = 600,457,524,876,099,072
  5. Step 5: Solve for x
    x = 600,457,524,876,099,072/360,145,650
  6. Step 6: Final answer
    x = 1,667,263,022.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.