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Finding the Third Proportional to 12,268,653.75 and 25,806,498.75

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Solution

The third proportional to 12,268,653.75 and 25,806,498.75 is: 54,282,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268,653.75 : 25,806,498.75 = 25,806,498.75 : x
  2. Step 2: Convert to fraction form
    12,268,653.75/25,806,498.75 = 25,806,498.75/x
  3. Step 3: Cross multiply
    12,268,653.75x = 25,806,498.75 × 25,806,498.75
  4. Step 4: Simplify right side
    12,268,653.75x = 665,975,377,733,751.50
  5. Step 5: Solve for x
    x = 665,975,377,733,751.50/12,268,653.75
  6. Step 6: Final answer
    x = 54,282,677.73

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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.