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Finding the Third Proportional to 38,580,750 and 83,219,138

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Solution

The third proportional to 38,580,750 and 83,219,138 is: 179,504,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,750 : 83,219,138 = 83,219,138 : x
  2. Step 2: Convert to fraction form
    38,580,750/83,219,138 = 83,219,138/x
  3. Step 3: Cross multiply
    38,580,750x = 83,219,138 × 83,219,138
  4. Step 4: Simplify right side
    38,580,750x = 6,925,424,929,463,044
  5. Step 5: Solve for x
    x = 6,925,424,929,463,044/38,580,750
  6. Step 6: Final answer
    x = 179,504,673.43

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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.