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Finding the Third Proportional to 27,658,847.25 and 39,958,817.63

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Solution

The third proportional to 27,658,847.25 and 39,958,817.63 is: 57,728,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658,847.25 : 39,958,817.63 = 39,958,817.63 : x
  2. Step 2: Convert to fraction form
    27,658,847.25/39,958,817.63 = 39,958,817.63/x
  3. Step 3: Cross multiply
    27,658,847.25x = 39,958,817.63 × 39,958,817.63
  4. Step 4: Simplify right side
    27,658,847.25x = 1,596,707,105,988,010.75
  5. Step 5: Solve for x
    x = 1,596,707,105,988,010.75/27,658,847.25
  6. Step 6: Final answer
    x = 57,728,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.