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Finding the Third Proportional to 5,977,599.50 and 12,380,533

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Solution

The third proportional to 5,977,599.50 and 12,380,533 is: 25,641,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,599.50 : 12,380,533 = 12,380,533 : x
  2. Step 2: Convert to fraction form
    5,977,599.50/12,380,533 = 12,380,533/x
  3. Step 3: Cross multiply
    5,977,599.50x = 12,380,533 × 12,380,533
  4. Step 4: Simplify right side
    5,977,599.50x = 153,277,597,364,089
  5. Step 5: Solve for x
    x = 153,277,597,364,089/5,977,599.50
  6. Step 6: Final answer
    x = 25,641,998.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.