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Finding the Third Proportional to 7,438,257 and 11,493,992

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Solution

The third proportional to 7,438,257 and 11,493,992 is: 17,761,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,257 : 11,493,992 = 11,493,992 : x
  2. Step 2: Convert to fraction form
    7,438,257/11,493,992 = 11,493,992/x
  3. Step 3: Cross multiply
    7,438,257x = 11,493,992 × 11,493,992
  4. Step 4: Simplify right side
    7,438,257x = 132,111,852,096,064
  5. Step 5: Solve for x
    x = 132,111,852,096,064/7,438,257
  6. Step 6: Final answer
    x = 17,761,130.34

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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.