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Finding the Third Proportional to 6,931,408.50 and 15,456,579.75

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Solution

The third proportional to 6,931,408.50 and 15,456,579.75 is: 34,467,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,408.50 : 15,456,579.75 = 15,456,579.75 : x
  2. Step 2: Convert to fraction form
    6,931,408.50/15,456,579.75 = 15,456,579.75/x
  3. Step 3: Cross multiply
    6,931,408.50x = 15,456,579.75 × 15,456,579.75
  4. Step 4: Simplify right side
    6,931,408.50x = 238,905,857,568,110.06
  5. Step 5: Solve for x
    x = 238,905,857,568,110.06/6,931,408.50
  6. Step 6: Final answer
    x = 34,467,144.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.