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Finding the Third Proportional to 36,057,180 and 85,032,090

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Solution

The third proportional to 36,057,180 and 85,032,090 is: 200,527,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,057,180 : 85,032,090 = 85,032,090 : x
  2. Step 2: Convert to fraction form
    36,057,180/85,032,090 = 85,032,090/x
  3. Step 3: Cross multiply
    36,057,180x = 85,032,090 × 85,032,090
  4. Step 4: Simplify right side
    36,057,180x = 7,230,456,329,768,100
  5. Step 5: Solve for x
    x = 7,230,456,329,768,100/36,057,180
  6. Step 6: Final answer
    x = 200,527,504.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.