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Finding the Third Proportional to 182,915,953,911 and 396,226,878,696

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Solution

The third proportional to 182,915,953,911 and 396,226,878,696 is: 858,294,402,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915,953,911 : 396,226,878,696 = 396,226,878,696 : x
  2. Step 2: Convert to fraction form
    182,915,953,911/396,226,878,696 = 396,226,878,696/x
  3. Step 3: Cross multiply
    182,915,953,911x = 396,226,878,696 × 396,226,878,696
  4. Step 4: Simplify right side
    182,915,953,911x = 156,995,739,401,174,705,504,256
  5. Step 5: Solve for x
    x = 156,995,739,401,174,705,504,256/182,915,953,911
  6. Step 6: Final answer
    x = 858,294,402,671.75

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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.