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Finding the Third Proportional to 36,745,636.50 and 80,215,204.50

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Solution

The third proportional to 36,745,636.50 and 80,215,204.50 is: 175,108,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,745,636.50 : 80,215,204.50 = 80,215,204.50 : x
  2. Step 2: Convert to fraction form
    36,745,636.50/80,215,204.50 = 80,215,204.50/x
  3. Step 3: Cross multiply
    36,745,636.50x = 80,215,204.50 × 80,215,204.50
  4. Step 4: Simplify right side
    36,745,636.50x = 6,434,479,032,976,820
  5. Step 5: Solve for x
    x = 6,434,479,032,976,820/36,745,636.50
  6. Step 6: Final answer
    x = 175,108,656.32

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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.