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Finding the Third Proportional to 597,777,968 and 1,313,239,864

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Solution

The third proportional to 597,777,968 and 1,313,239,864 is: 2,885,015,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,777,968 : 1,313,239,864 = 1,313,239,864 : x
  2. Step 2: Convert to fraction form
    597,777,968/1,313,239,864 = 1,313,239,864/x
  3. Step 3: Cross multiply
    597,777,968x = 1,313,239,864 × 1,313,239,864
  4. Step 4: Simplify right side
    597,777,968x = 1,724,598,940,398,738,432
  5. Step 5: Solve for x
    x = 1,724,598,940,398,738,432/597,777,968
  6. Step 6: Final answer
    x = 2,885,015,896.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.