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Finding the Third Proportional to 12,837,241 and 19,884,580

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Solution

The third proportional to 12,837,241 and 19,884,580 is: 30,800,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837,241 : 19,884,580 = 19,884,580 : x
  2. Step 2: Convert to fraction form
    12,837,241/19,884,580 = 19,884,580/x
  3. Step 3: Cross multiply
    12,837,241x = 19,884,580 × 19,884,580
  4. Step 4: Simplify right side
    12,837,241x = 395,396,521,776,400
  5. Step 5: Solve for x
    x = 395,396,521,776,400/12,837,241
  6. Step 6: Final answer
    x = 30,800,739.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.