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Finding the Third Proportional to 7,862,242.50 and 11,848,767.75

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Solution

The third proportional to 7,862,242.50 and 11,848,767.75 is: 17,856,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,242.50 : 11,848,767.75 = 11,848,767.75 : x
  2. Step 2: Convert to fraction form
    7,862,242.50/11,848,767.75 = 11,848,767.75/x
  3. Step 3: Cross multiply
    7,862,242.50x = 11,848,767.75 × 11,848,767.75
  4. Step 4: Simplify right side
    7,862,242.50x = 140,393,297,193,440.06
  5. Step 5: Solve for x
    x = 140,393,297,193,440.06/7,862,242.50
  6. Step 6: Final answer
    x = 17,856,648.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.