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Finding the Third Proportional to 27,871,917.75 and 61,412,509.13

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Solution

The third proportional to 27,871,917.75 and 61,412,509.13 is: 135,315,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871,917.75 : 61,412,509.13 = 61,412,509.13 : x
  2. Step 2: Convert to fraction form
    27,871,917.75/61,412,509.13 = 61,412,509.13/x
  3. Step 3: Cross multiply
    27,871,917.75x = 61,412,509.13 × 61,412,509.13
  4. Step 4: Simplify right side
    27,871,917.75x = 3,771,496,277,028,208.50
  5. Step 5: Solve for x
    x = 3,771,496,277,028,208.50/27,871,917.75
  6. Step 6: Final answer
    x = 135,315,277.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.