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Finding the Third Proportional to 308,376,596 and 673,262,508

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Solution

The third proportional to 308,376,596 and 673,262,508 is: 1,469,898,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,376,596 : 673,262,508 = 673,262,508 : x
  2. Step 2: Convert to fraction form
    308,376,596/673,262,508 = 673,262,508/x
  3. Step 3: Cross multiply
    308,376,596x = 673,262,508 × 673,262,508
  4. Step 4: Simplify right side
    308,376,596x = 453,282,404,678,450,048
  5. Step 5: Solve for x
    x = 453,282,404,678,450,048/308,376,596
  6. Step 6: Final answer
    x = 1,469,898,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.