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Finding the Third Proportional to 479,623,087.97 and 1,043,701,858.41

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Solution

The third proportional to 479,623,087.97 and 1,043,701,858.41 is: 2,271,186,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,623,087.97 : 1,043,701,858.41 = 1,043,701,858.41 : x
  2. Step 2: Convert to fraction form
    479,623,087.97/1,043,701,858.41 = 1,043,701,858.41/x
  3. Step 3: Cross multiply
    479,623,087.97x = 1,043,701,858.41 × 1,043,701,858.41
  4. Step 4: Simplify right side
    479,623,087.97x = 1,089,313,569,240,555,648
  5. Step 5: Solve for x
    x = 1,089,313,569,240,555,648/479,623,087.97
  6. Step 6: Final answer
    x = 2,271,186,680.89

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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.