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Finding the Third Proportional to 36,357,504 and 77,753,850

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Solution

The third proportional to 36,357,504 and 77,753,850 is: 166,283,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357,504 : 77,753,850 = 77,753,850 : x
  2. Step 2: Convert to fraction form
    36,357,504/77,753,850 = 77,753,850/x
  3. Step 3: Cross multiply
    36,357,504x = 77,753,850 × 77,753,850
  4. Step 4: Simplify right side
    36,357,504x = 6,045,661,189,822,500
  5. Step 5: Solve for x
    x = 6,045,661,189,822,500/36,357,504
  6. Step 6: Final answer
    x = 166,283,724.81

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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.