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Finding the Third Proportional to 9,242,032 and 20,609,112

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Solution

The third proportional to 9,242,032 and 20,609,112 is: 45,956,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242,032 : 20,609,112 = 20,609,112 : x
  2. Step 2: Convert to fraction form
    9,242,032/20,609,112 = 20,609,112/x
  3. Step 3: Cross multiply
    9,242,032x = 20,609,112 × 20,609,112
  4. Step 4: Simplify right side
    9,242,032x = 424,735,497,428,544
  5. Step 5: Solve for x
    x = 424,735,497,428,544/9,242,032
  6. Step 6: Final answer
    x = 45,956,938.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.