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Finding the Third Proportional to 7,438,203 and 11,493,920

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Solution

The third proportional to 7,438,203 and 11,493,920 is: 17,761,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,203 : 11,493,920 = 11,493,920 : x
  2. Step 2: Convert to fraction form
    7,438,203/11,493,920 = 11,493,920/x
  3. Step 3: Cross multiply
    7,438,203x = 11,493,920 × 11,493,920
  4. Step 4: Simplify right side
    7,438,203x = 132,110,196,966,400
  5. Step 5: Solve for x
    x = 132,110,196,966,400/7,438,203
  6. Step 6: Final answer
    x = 17,761,036.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.