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Finding the Third Proportional to 682,668,769.50 and 1,468,878,867

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Solution

The third proportional to 682,668,769.50 and 1,468,878,867 is: 3,160,544,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,668,769.50 : 1,468,878,867 = 1,468,878,867 : x
  2. Step 2: Convert to fraction form
    682,668,769.50/1,468,878,867 = 1,468,878,867/x
  3. Step 3: Cross multiply
    682,668,769.50x = 1,468,878,867 × 1,468,878,867
  4. Step 4: Simplify right side
    682,668,769.50x = 2,157,605,125,919,203,584
  5. Step 5: Solve for x
    x = 2,157,605,125,919,203,584/682,668,769.50
  6. Step 6: Final answer
    x = 3,160,544,648.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.