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Finding the Third Proportional to 12,268,672.50 and 25,806,525

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Solution

The third proportional to 12,268,672.50 and 25,806,525 is: 54,282,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268,672.50 : 25,806,525 = 25,806,525 : x
  2. Step 2: Convert to fraction form
    12,268,672.50/25,806,525 = 25,806,525/x
  3. Step 3: Cross multiply
    12,268,672.50x = 25,806,525 × 25,806,525
  4. Step 4: Simplify right side
    12,268,672.50x = 665,976,732,575,625
  5. Step 5: Solve for x
    x = 665,976,732,575,625/12,268,672.50
  6. Step 6: Final answer
    x = 54,282,705.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.