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Finding the Third Proportional to 5,396,240.81 and 8,302,782.09

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Solution

The third proportional to 5,396,240.81 and 8,302,782.09 is: 12,774,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396,240.81 : 8,302,782.09 = 8,302,782.09 : x
  2. Step 2: Convert to fraction form
    5,396,240.81/8,302,782.09 = 8,302,782.09/x
  3. Step 3: Cross multiply
    5,396,240.81x = 8,302,782.09 × 8,302,782.09
  4. Step 4: Simplify right side
    5,396,240.81x = 68,936,190,496,295.63
  5. Step 5: Solve for x
    x = 68,936,190,496,295.63/5,396,240.81
  6. Step 6: Final answer
    x = 12,774,854.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.