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Finding the Third Proportional to 82,095,024 and 178,479,542

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Solution

The third proportional to 82,095,024 and 178,479,542 is: 388,025,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095,024 : 178,479,542 = 178,479,542 : x
  2. Step 2: Convert to fraction form
    82,095,024/178,479,542 = 178,479,542/x
  3. Step 3: Cross multiply
    82,095,024x = 178,479,542 × 178,479,542
  4. Step 4: Simplify right side
    82,095,024x = 31,854,946,912,529,764
  5. Step 5: Solve for x
    x = 31,854,946,912,529,764/82,095,024
  6. Step 6: Final answer
    x = 388,025,307.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.