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Finding the Third Proportional to 5,709,422.25 and 12,554,424

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Solution

The third proportional to 5,709,422.25 and 12,554,424 is: 27,605,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,422.25 : 12,554,424 = 12,554,424 : x
  2. Step 2: Convert to fraction form
    5,709,422.25/12,554,424 = 12,554,424/x
  3. Step 3: Cross multiply
    5,709,422.25x = 12,554,424 × 12,554,424
  4. Step 4: Simplify right side
    5,709,422.25x = 157,613,561,971,776
  5. Step 5: Solve for x
    x = 157,613,561,971,776/5,709,422.25
  6. Step 6: Final answer
    x = 27,605,868.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.