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Finding the Third Proportional to 12,142,059 and 24,771,841.50

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Solution

The third proportional to 12,142,059 and 24,771,841.50 is: 50,538,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,059 : 24,771,841.50 = 24,771,841.50 : x
  2. Step 2: Convert to fraction form
    12,142,059/24,771,841.50 = 24,771,841.50/x
  3. Step 3: Cross multiply
    12,142,059x = 24,771,841.50 × 24,771,841.50
  4. Step 4: Simplify right side
    12,142,059x = 613,644,131,301,122.25
  5. Step 5: Solve for x
    x = 613,644,131,301,122.25/12,142,059
  6. Step 6: Final answer
    x = 50,538,720.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.