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Finding the Third Proportional to 3,918,659,880 and 8,460,702,240

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Solution

The third proportional to 3,918,659,880 and 8,460,702,240 is: 18,267,337,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,659,880 : 8,460,702,240 = 8,460,702,240 : x
  2. Step 2: Convert to fraction form
    3,918,659,880/8,460,702,240 = 8,460,702,240/x
  3. Step 3: Cross multiply
    3,918,659,880x = 8,460,702,240 × 8,460,702,240
  4. Step 4: Simplify right side
    3,918,659,880x = 71,583,482,393,941,016,576
  5. Step 5: Solve for x
    x = 71,583,482,393,941,016,576/3,918,659,880
  6. Step 6: Final answer
    x = 18,267,337,453.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.