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Finding the Third Proportional to 5,394,448.13 and 11,554,072.88

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Solution

The third proportional to 5,394,448.13 and 11,554,072.88 is: 24,747,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,448.13 : 11,554,072.88 = 11,554,072.88 : x
  2. Step 2: Convert to fraction form
    5,394,448.13/11,554,072.88 = 11,554,072.88/x
  3. Step 3: Cross multiply
    5,394,448.13x = 11,554,072.88 × 11,554,072.88
  4. Step 4: Simplify right side
    5,394,448.13x = 133,496,600,000,810.77
  5. Step 5: Solve for x
    x = 133,496,600,000,810.77/5,394,448.13
  6. Step 6: Final answer
    x = 24,747,035.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.