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Finding the Third Proportional to 39,820,896 and 85,100,544

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Solution

The third proportional to 39,820,896 and 85,100,544 is: 181,866,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820,896 : 85,100,544 = 85,100,544 : x
  2. Step 2: Convert to fraction form
    39,820,896/85,100,544 = 85,100,544/x
  3. Step 3: Cross multiply
    39,820,896x = 85,100,544 × 85,100,544
  4. Step 4: Simplify right side
    39,820,896x = 7,242,102,589,095,936
  5. Step 5: Solve for x
    x = 7,242,102,589,095,936/39,820,896
  6. Step 6: Final answer
    x = 181,866,891.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.