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Finding the Third Proportional to 308,296,844 and 719,384,162

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Solution

The third proportional to 308,296,844 and 719,384,162 is: 1,678,621,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,296,844 : 719,384,162 = 719,384,162 : x
  2. Step 2: Convert to fraction form
    308,296,844/719,384,162 = 719,384,162/x
  3. Step 3: Cross multiply
    308,296,844x = 719,384,162 × 719,384,162
  4. Step 4: Simplify right side
    308,296,844x = 517,513,572,536,442,240
  5. Step 5: Solve for x
    x = 517,513,572,536,442,240/308,296,844
  6. Step 6: Final answer
    x = 1,678,621,051.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.