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Finding the Third Proportional to 8,431,915,409 and 13,098,192,638

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Solution

The third proportional to 8,431,915,409 and 13,098,192,638 is: 20,346,818,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,915,409 : 13,098,192,638 = 13,098,192,638 : x
  2. Step 2: Convert to fraction form
    8,431,915,409/13,098,192,638 = 13,098,192,638/x
  3. Step 3: Cross multiply
    8,431,915,409x = 13,098,192,638 × 13,098,192,638
  4. Step 4: Simplify right side
    8,431,915,409x = 171,562,650,382,157,414,400
  5. Step 5: Solve for x
    x = 171,562,650,382,157,414,400/8,431,915,409
  6. Step 6: Final answer
    x = 20,346,818,256.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.