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Finding the Third Proportional to 38,535,934 and 55,677,770

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Solution

The third proportional to 38,535,934 and 55,677,770 is: 80,444,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535,934 : 55,677,770 = 55,677,770 : x
  2. Step 2: Convert to fraction form
    38,535,934/55,677,770 = 55,677,770/x
  3. Step 3: Cross multiply
    38,535,934x = 55,677,770 × 55,677,770
  4. Step 4: Simplify right side
    38,535,934x = 3,100,014,072,172,900
  5. Step 5: Solve for x
    x = 3,100,014,072,172,900/38,535,934
  6. Step 6: Final answer
    x = 80,444,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.