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Finding the Third Proportional to 254,797,564,799 and 381,823,629,837

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Solution

The third proportional to 254,797,564,799 and 381,823,629,837 is: 572,176,913,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,797,564,799 : 381,823,629,837 = 381,823,629,837 : x
  2. Step 2: Convert to fraction form
    254,797,564,799/381,823,629,837 = 381,823,629,837/x
  3. Step 3: Cross multiply
    254,797,564,799x = 381,823,629,837 × 381,823,629,837
  4. Step 4: Simplify right side
    254,797,564,799x = 145,789,284,301,902,394,163,200
  5. Step 5: Solve for x
    x = 145,789,284,301,902,394,163,200/254,797,564,799
  6. Step 6: Final answer
    x = 572,176,913,923.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.