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Finding the Third Proportional to 9,721,696 and 20,939,192

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Solution

The third proportional to 9,721,696 and 20,939,192 is: 45,100,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721,696 : 20,939,192 = 20,939,192 : x
  2. Step 2: Convert to fraction form
    9,721,696/20,939,192 = 20,939,192/x
  3. Step 3: Cross multiply
    9,721,696x = 20,939,192 × 20,939,192
  4. Step 4: Simplify right side
    9,721,696x = 438,449,761,612,864
  5. Step 5: Solve for x
    x = 438,449,761,612,864/9,721,696
  6. Step 6: Final answer
    x = 45,100,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.