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Finding the Third Proportional to 5,170,115.25 and 7,895,144.25

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Solution

The third proportional to 5,170,115.25 and 7,895,144.25 is: 12,056,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170,115.25 : 7,895,144.25 = 7,895,144.25 : x
  2. Step 2: Convert to fraction form
    5,170,115.25/7,895,144.25 = 7,895,144.25/x
  3. Step 3: Cross multiply
    5,170,115.25x = 7,895,144.25 × 7,895,144.25
  4. Step 4: Simplify right side
    5,170,115.25x = 62,333,302,728,308.06
  5. Step 5: Solve for x
    x = 62,333,302,728,308.06/5,170,115.25
  6. Step 6: Final answer
    x = 12,056,462.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.