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Finding the Third Proportional to 12,268,698.75 and 25,806,580.50

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Solution

The third proportional to 12,268,698.75 and 25,806,580.50 is: 54,282,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268,698.75 : 25,806,580.50 = 25,806,580.50 : x
  2. Step 2: Convert to fraction form
    12,268,698.75/25,806,580.50 = 25,806,580.50/x
  3. Step 3: Cross multiply
    12,268,698.75x = 25,806,580.50 × 25,806,580.50
  4. Step 4: Simplify right side
    12,268,698.75x = 665,979,597,102,980.25
  5. Step 5: Solve for x
    x = 665,979,597,102,980.25/12,268,698.75
  6. Step 6: Final answer
    x = 54,282,822.54

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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.