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Finding the Third Proportional to 36,473,168 and 78,998,872

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Solution

The third proportional to 36,473,168 and 78,998,872 is: 171,107,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473,168 : 78,998,872 = 78,998,872 : x
  2. Step 2: Convert to fraction form
    36,473,168/78,998,872 = 78,998,872/x
  3. Step 3: Cross multiply
    36,473,168x = 78,998,872 × 78,998,872
  4. Step 4: Simplify right side
    36,473,168x = 6,240,821,777,272,384
  5. Step 5: Solve for x
    x = 6,240,821,777,272,384/36,473,168
  6. Step 6: Final answer
    x = 171,107,203.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.