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Finding the Third Proportional to 82,434,997,784 and 178,558,422,372

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Solution

The third proportional to 82,434,997,784 and 178,558,422,372 is: 386,766,677,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434,997,784 : 178,558,422,372 = 178,558,422,372 : x
  2. Step 2: Convert to fraction form
    82,434,997,784/178,558,422,372 = 178,558,422,372/x
  3. Step 3: Cross multiply
    82,434,997,784x = 178,558,422,372 × 178,558,422,372
  4. Step 4: Simplify right side
    82,434,997,784x = 31,883,110,199,977,551,331,328
  5. Step 5: Solve for x
    x = 31,883,110,199,977,551,331,328/82,434,997,784
  6. Step 6: Final answer
    x = 386,766,677,467.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.