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Finding the Third Proportional to 11,515,304 and 24,802,072

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Solution

The third proportional to 11,515,304 and 24,802,072 is: 53,419,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515,304 : 24,802,072 = 24,802,072 : x
  2. Step 2: Convert to fraction form
    11,515,304/24,802,072 = 24,802,072/x
  3. Step 3: Cross multiply
    11,515,304x = 24,802,072 × 24,802,072
  4. Step 4: Simplify right side
    11,515,304x = 615,142,775,493,184
  5. Step 5: Solve for x
    x = 615,142,775,493,184/11,515,304
  6. Step 6: Final answer
    x = 53,419,586.27

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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.