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Finding the Third Proportional to 6,111,523.50 and 12,725,097

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Solution

The third proportional to 6,111,523.50 and 12,725,097 is: 26,495,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,523.50 : 12,725,097 = 12,725,097 : x
  2. Step 2: Convert to fraction form
    6,111,523.50/12,725,097 = 12,725,097/x
  3. Step 3: Cross multiply
    6,111,523.50x = 12,725,097 × 12,725,097
  4. Step 4: Simplify right side
    6,111,523.50x = 161,928,093,659,409
  5. Step 5: Solve for x
    x = 161,928,093,659,409/6,111,523.50
  6. Step 6: Final answer
    x = 26,495,536.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.