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Finding the Third Proportional to 5,877,120.38 and 9,081,642.94

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Solution

The third proportional to 5,877,120.38 and 9,081,642.94 is: 14,033,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,120.38 : 9,081,642.94 = 9,081,642.94 : x
  2. Step 2: Convert to fraction form
    5,877,120.38/9,081,642.94 = 9,081,642.94/x
  3. Step 3: Cross multiply
    5,877,120.38x = 9,081,642.94 × 9,081,642.94
  4. Step 4: Simplify right side
    5,877,120.38x = 82,476,238,444,243.62
  5. Step 5: Solve for x
    x = 82,476,238,444,243.62/5,877,120.38
  6. Step 6: Final answer
    x = 14,033,443.79

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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.