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Finding the Third Proportional to 313,289,491.50 and 678,647,079

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Solution

The third proportional to 313,289,491.50 and 678,647,079 is: 1,470,083,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,289,491.50 : 678,647,079 = 678,647,079 : x
  2. Step 2: Convert to fraction form
    313,289,491.50/678,647,079 = 678,647,079/x
  3. Step 3: Cross multiply
    313,289,491.50x = 678,647,079 × 678,647,079
  4. Step 4: Simplify right side
    313,289,491.50x = 460,561,857,835,232,256
  5. Step 5: Solve for x
    x = 460,561,857,835,232,256/313,289,491.50
  6. Step 6: Final answer
    x = 1,470,083,964.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.