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Finding the Third Proportional to 182,915,953,936 and 396,226,878,736

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Solution

The third proportional to 182,915,953,936 and 396,226,878,736 is: 858,294,402,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915,953,936 : 396,226,878,736 = 396,226,878,736 : x
  2. Step 2: Convert to fraction form
    182,915,953,936/396,226,878,736 = 396,226,878,736/x
  3. Step 3: Cross multiply
    182,915,953,936x = 396,226,878,736 × 396,226,878,736
  4. Step 4: Simplify right side
    182,915,953,936x = 156,995,739,432,872,839,217,152
  5. Step 5: Solve for x
    x = 156,995,739,432,872,839,217,152/182,915,953,936
  6. Step 6: Final answer
    x = 858,294,402,727.73

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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.