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Finding the Third Proportional to 3,279,118,732 and 7,140,460,440

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Solution

The third proportional to 3,279,118,732 and 7,140,460,440 is: 15,548,743,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279,118,732 : 7,140,460,440 = 7,140,460,440 : x
  2. Step 2: Convert to fraction form
    3,279,118,732/7,140,460,440 = 7,140,460,440/x
  3. Step 3: Cross multiply
    3,279,118,732x = 7,140,460,440 × 7,140,460,440
  4. Step 4: Simplify right side
    3,279,118,732x = 50,986,175,295,204,990,976
  5. Step 5: Solve for x
    x = 50,986,175,295,204,990,976/3,279,118,732
  6. Step 6: Final answer
    x = 15,548,743,263.75

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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.