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Finding the Third Proportional to 32,800,326 and 71,777,829

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Solution

The third proportional to 32,800,326 and 71,777,829 is: 157,073,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800,326 : 71,777,829 = 71,777,829 : x
  2. Step 2: Convert to fraction form
    32,800,326/71,777,829 = 71,777,829/x
  3. Step 3: Cross multiply
    32,800,326x = 71,777,829 × 71,777,829
  4. Step 4: Simplify right side
    32,800,326x = 5,152,056,735,953,241
  5. Step 5: Solve for x
    x = 5,152,056,735,953,241/32,800,326
  6. Step 6: Final answer
    x = 157,073,339.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.