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Finding the Third Proportional to 77,052,825 and 112,814,866

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Solution

The third proportional to 77,052,825 and 112,814,866 is: 165,174,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,825 : 112,814,866 = 112,814,866 : x
  2. Step 2: Convert to fraction form
    77,052,825/112,814,866 = 112,814,866/x
  3. Step 3: Cross multiply
    77,052,825x = 112,814,866 × 112,814,866
  4. Step 4: Simplify right side
    77,052,825x = 12,727,193,990,597,956
  5. Step 5: Solve for x
    x = 12,727,193,990,597,956/77,052,825
  6. Step 6: Final answer
    x = 165,174,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.