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Finding the Third Proportional to 5,291,538 and 11,591,986

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Solution

The third proportional to 5,291,538 and 11,591,986 is: 25,394,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,538 : 11,591,986 = 11,591,986 : x
  2. Step 2: Convert to fraction form
    5,291,538/11,591,986 = 11,591,986/x
  3. Step 3: Cross multiply
    5,291,538x = 11,591,986 × 11,591,986
  4. Step 4: Simplify right side
    5,291,538x = 134,374,139,424,196
  5. Step 5: Solve for x
    x = 134,374,139,424,196/5,291,538
  6. Step 6: Final answer
    x = 25,394,155.62

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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.