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Finding the Third Proportional to 12,267,904.50 and 24,938,049.75

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Solution

The third proportional to 12,267,904.50 and 24,938,049.75 is: 50,693,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267,904.50 : 24,938,049.75 = 24,938,049.75 : x
  2. Step 2: Convert to fraction form
    12,267,904.50/24,938,049.75 = 24,938,049.75/x
  3. Step 3: Cross multiply
    12,267,904.50x = 24,938,049.75 × 24,938,049.75
  4. Step 4: Simplify right side
    12,267,904.50x = 621,906,325,333,475
  5. Step 5: Solve for x
    x = 621,906,325,333,475/12,267,904.50
  6. Step 6: Final answer
    x = 50,693,769.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.