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Finding the Third Proportional to 984,101,439 and 2,007,795,208.50

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Solution

The third proportional to 984,101,439 and 2,007,795,208.50 is: 4,096,367,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,101,439 : 2,007,795,208.50 = 2,007,795,208.50 : x
  2. Step 2: Convert to fraction form
    984,101,439/2,007,795,208.50 = 2,007,795,208.50/x
  3. Step 3: Cross multiply
    984,101,439x = 2,007,795,208.50 × 2,007,795,208.50
  4. Step 4: Simplify right side
    984,101,439x = 4,031,241,599,275,558,400
  5. Step 5: Solve for x
    x = 4,031,241,599,275,558,400/984,101,439
  6. Step 6: Final answer
    x = 4,096,367,955.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.