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Finding the Third Proportional to 36,836,376 and 80,207,896.50

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Solution

The third proportional to 36,836,376 and 80,207,896.50 is: 174,645,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,376 : 80,207,896.50 = 80,207,896.50 : x
  2. Step 2: Convert to fraction form
    36,836,376/80,207,896.50 = 80,207,896.50/x
  3. Step 3: Cross multiply
    36,836,376x = 80,207,896.50 × 80,207,896.50
  4. Step 4: Simplify right side
    36,836,376x = 6,433,306,660,954,712
  5. Step 5: Solve for x
    x = 6,433,306,660,954,712/36,836,376
  6. Step 6: Final answer
    x = 174,645,482.52

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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.