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Finding the Third Proportional to 5,407,020.75 and 8,111,607.75

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Solution

The third proportional to 5,407,020.75 and 8,111,607.75 is: 12,169,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,020.75 : 8,111,607.75 = 8,111,607.75 : x
  2. Step 2: Convert to fraction form
    5,407,020.75/8,111,607.75 = 8,111,607.75/x
  3. Step 3: Cross multiply
    5,407,020.75x = 8,111,607.75 × 8,111,607.75
  4. Step 4: Simplify right side
    5,407,020.75x = 65,798,180,289,860.06
  5. Step 5: Solve for x
    x = 65,798,180,289,860.06/5,407,020.75
  6. Step 6: Final answer
    x = 12,169,026.78

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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.