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Finding the Third Proportional to 12,586,999.50 and 17,766,463.50

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Solution

The third proportional to 12,586,999.50 and 17,766,463.50 is: 25,077,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586,999.50 : 17,766,463.50 = 17,766,463.50 : x
  2. Step 2: Convert to fraction form
    12,586,999.50/17,766,463.50 = 17,766,463.50/x
  3. Step 3: Cross multiply
    12,586,999.50x = 17,766,463.50 × 17,766,463.50
  4. Step 4: Simplify right side
    12,586,999.50x = 315,647,225,296,832.25
  5. Step 5: Solve for x
    x = 315,647,225,296,832.25/12,586,999.50
  6. Step 6: Final answer
    x = 25,077,241.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.