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Finding the Third Proportional to 4,613,924 and 10,096,351

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Solution

The third proportional to 4,613,924 and 10,096,351 is: 22,093,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613,924 : 10,096,351 = 10,096,351 : x
  2. Step 2: Convert to fraction form
    4,613,924/10,096,351 = 10,096,351/x
  3. Step 3: Cross multiply
    4,613,924x = 10,096,351 × 10,096,351
  4. Step 4: Simplify right side
    4,613,924x = 101,936,303,515,201
  5. Step 5: Solve for x
    x = 101,936,303,515,201/4,613,924
  6. Step 6: Final answer
    x = 22,093,190.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.