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Finding the Third Proportional to 8,431,915,407 and 13,098,192,635

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Solution

The third proportional to 8,431,915,407 and 13,098,192,635 is: 20,346,818,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,915,407 : 13,098,192,635 = 13,098,192,635 : x
  2. Step 2: Convert to fraction form
    8,431,915,407/13,098,192,635 = 13,098,192,635/x
  3. Step 3: Cross multiply
    8,431,915,407x = 13,098,192,635 × 13,098,192,635
  4. Step 4: Simplify right side
    8,431,915,407x = 171,562,650,303,568,248,832
  5. Step 5: Solve for x
    x = 171,562,650,303,568,248,832/8,431,915,407
  6. Step 6: Final answer
    x = 20,346,818,252.13

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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.