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Finding the Third Proportional to 5,042,739 and 7,569,272.25

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Solution

The third proportional to 5,042,739 and 7,569,272.25 is: 11,361,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042,739 : 7,569,272.25 = 7,569,272.25 : x
  2. Step 2: Convert to fraction form
    5,042,739/7,569,272.25 = 7,569,272.25/x
  3. Step 3: Cross multiply
    5,042,739x = 7,569,272.25 × 7,569,272.25
  4. Step 4: Simplify right side
    5,042,739x = 57,293,882,394,620.06
  5. Step 5: Solve for x
    x = 57,293,882,394,620.06/5,042,739
  6. Step 6: Final answer
    x = 11,361,659.29

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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.