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Finding the Third Proportional to 32,821,825.50 and 71,423,163

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Solution

The third proportional to 32,821,825.50 and 71,423,163 is: 155,423,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821,825.50 : 71,423,163 = 71,423,163 : x
  2. Step 2: Convert to fraction form
    32,821,825.50/71,423,163 = 71,423,163/x
  3. Step 3: Cross multiply
    32,821,825.50x = 71,423,163 × 71,423,163
  4. Step 4: Simplify right side
    32,821,825.50x = 5,101,268,212,924,569
  5. Step 5: Solve for x
    x = 5,101,268,212,924,569/32,821,825.50
  6. Step 6: Final answer
    x = 155,423,049.61

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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.