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Finding the Third Proportional to 3,279,118,736 and 7,140,460,448

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Solution

The third proportional to 3,279,118,736 and 7,140,460,448 is: 15,548,743,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279,118,736 : 7,140,460,448 = 7,140,460,448 : x
  2. Step 2: Convert to fraction form
    3,279,118,736/7,140,460,448 = 7,140,460,448/x
  3. Step 3: Cross multiply
    3,279,118,736x = 7,140,460,448 × 7,140,460,448
  4. Step 4: Simplify right side
    3,279,118,736x = 50,986,175,409,452,359,680
  5. Step 5: Solve for x
    x = 50,986,175,409,452,359,680/3,279,118,736
  6. Step 6: Final answer
    x = 15,548,743,279.62

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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.