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Finding the Third Proportional to 15,946,942.50 and 24,739,830

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Solution

The third proportional to 15,946,942.50 and 24,739,830 is: 38,380,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946,942.50 : 24,739,830 = 24,739,830 : x
  2. Step 2: Convert to fraction form
    15,946,942.50/24,739,830 = 24,739,830/x
  3. Step 3: Cross multiply
    15,946,942.50x = 24,739,830 × 24,739,830
  4. Step 4: Simplify right side
    15,946,942.50x = 612,059,188,428,900
  5. Step 5: Solve for x
    x = 612,059,188,428,900/15,946,942.50
  6. Step 6: Final answer
    x = 38,380,974.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.