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Finding the Third Proportional to 839,450,298 and 1,796,823,409.50

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Solution

The third proportional to 839,450,298 and 1,796,823,409.50 is: 3,846,057,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,450,298 : 1,796,823,409.50 = 1,796,823,409.50 : x
  2. Step 2: Convert to fraction form
    839,450,298/1,796,823,409.50 = 1,796,823,409.50/x
  3. Step 3: Cross multiply
    839,450,298x = 1,796,823,409.50 × 1,796,823,409.50
  4. Step 4: Simplify right side
    839,450,298x = 3,228,574,364,927,204,864
  5. Step 5: Solve for x
    x = 3,228,574,364,927,204,864/839,450,298
  6. Step 6: Final answer
    x = 3,846,057,798.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.