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Finding the Third Proportional to 18,411,846.75 and 27,617,770.13

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Solution

The third proportional to 18,411,846.75 and 27,617,770.13 is: 41,426,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411,846.75 : 27,617,770.13 = 27,617,770.13 : x
  2. Step 2: Convert to fraction form
    18,411,846.75/27,617,770.13 = 27,617,770.13/x
  3. Step 3: Cross multiply
    18,411,846.75x = 27,617,770.13 × 27,617,770.13
  4. Step 4: Simplify right side
    18,411,846.75x = 762,741,226,677,342.50
  5. Step 5: Solve for x
    x = 762,741,226,677,342.50/18,411,846.75
  6. Step 6: Final answer
    x = 41,426,655.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.