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Finding the Third Proportional to 7,204,648.50 and 15,438,963

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Solution

The third proportional to 7,204,648.50 and 15,438,963 is: 33,084,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204,648.50 : 15,438,963 = 15,438,963 : x
  2. Step 2: Convert to fraction form
    7,204,648.50/15,438,963 = 15,438,963/x
  3. Step 3: Cross multiply
    7,204,648.50x = 15,438,963 × 15,438,963
  4. Step 4: Simplify right side
    7,204,648.50x = 238,361,578,515,369
  5. Step 5: Solve for x
    x = 238,361,578,515,369/7,204,648.50
  6. Step 6: Final answer
    x = 33,084,414.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.