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Finding the Third Proportional to 36,798,865,731 and 80,045,273,520

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Solution

The third proportional to 36,798,865,731 and 80,045,273,520 is: 174,115,307,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798,865,731 : 80,045,273,520 = 80,045,273,520 : x
  2. Step 2: Convert to fraction form
    36,798,865,731/80,045,273,520 = 80,045,273,520/x
  3. Step 3: Cross multiply
    36,798,865,731x = 80,045,273,520 × 80,045,273,520
  4. Step 4: Simplify right side
    36,798,865,731x = 6,407,245,812,891,613,396,992
  5. Step 5: Solve for x
    x = 6,407,245,812,891,613,396,992/36,798,865,731
  6. Step 6: Final answer
    x = 174,115,307,241.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.