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Finding the Third Proportional to 38,220,040 and 83,158,296

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Solution

The third proportional to 38,220,040 and 83,158,296 is: 180,933,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220,040 : 83,158,296 = 83,158,296 : x
  2. Step 2: Convert to fraction form
    38,220,040/83,158,296 = 83,158,296/x
  3. Step 3: Cross multiply
    38,220,040x = 83,158,296 × 83,158,296
  4. Step 4: Simplify right side
    38,220,040x = 6,915,302,193,623,616
  5. Step 5: Solve for x
    x = 6,915,302,193,623,616/38,220,040
  6. Step 6: Final answer
    x = 180,933,933.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.