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Finding the Third Proportional to 5,400,952 and 11,729,170

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Solution

The third proportional to 5,400,952 and 11,729,170 is: 25,472,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400,952 : 11,729,170 = 11,729,170 : x
  2. Step 2: Convert to fraction form
    5,400,952/11,729,170 = 11,729,170/x
  3. Step 3: Cross multiply
    5,400,952x = 11,729,170 × 11,729,170
  4. Step 4: Simplify right side
    5,400,952x = 137,573,428,888,900
  5. Step 5: Solve for x
    x = 137,573,428,888,900/5,400,952
  6. Step 6: Final answer
    x = 25,472,070.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.