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Finding the Third Proportional to 38,282,652 and 82,576,152

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Solution

The third proportional to 38,282,652 and 82,576,152 is: 178,117,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282,652 : 82,576,152 = 82,576,152 : x
  2. Step 2: Convert to fraction form
    38,282,652/82,576,152 = 82,576,152/x
  3. Step 3: Cross multiply
    38,282,652x = 82,576,152 × 82,576,152
  4. Step 4: Simplify right side
    38,282,652x = 6,818,820,879,127,104
  5. Step 5: Solve for x
    x = 6,818,820,879,127,104/38,282,652
  6. Step 6: Final answer
    x = 178,117,777.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.