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Finding the Third Proportional to 39,079,134 and 83,536,368

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Solution

The third proportional to 39,079,134 and 83,536,368 is: 178,569,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,079,134 : 83,536,368 = 83,536,368 : x
  2. Step 2: Convert to fraction form
    39,079,134/83,536,368 = 83,536,368/x
  3. Step 3: Cross multiply
    39,079,134x = 83,536,368 × 83,536,368
  4. Step 4: Simplify right side
    39,079,134x = 6,978,324,778,631,424
  5. Step 5: Solve for x
    x = 6,978,324,778,631,424/39,079,134
  6. Step 6: Final answer
    x = 178,569,074.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.