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Finding the Third Proportional to 8,431,915,402 and 13,098,192,627

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Solution

The third proportional to 8,431,915,402 and 13,098,192,627 is: 20,346,818,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,915,402 : 13,098,192,627 = 13,098,192,627 : x
  2. Step 2: Convert to fraction form
    8,431,915,402/13,098,192,627 = 13,098,192,627/x
  3. Step 3: Cross multiply
    8,431,915,402x = 13,098,192,627 × 13,098,192,627
  4. Step 4: Simplify right side
    8,431,915,402x = 171,562,650,093,997,162,496
  5. Step 5: Solve for x
    x = 171,562,650,093,997,162,496/8,431,915,402
  6. Step 6: Final answer
    x = 20,346,818,239.34

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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.