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Finding the Third Proportional to 29,469,680 and 61,993,196

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Solution

The third proportional to 29,469,680 and 61,993,196 is: 130,410,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469,680 : 61,993,196 = 61,993,196 : x
  2. Step 2: Convert to fraction form
    29,469,680/61,993,196 = 61,993,196/x
  3. Step 3: Cross multiply
    29,469,680x = 61,993,196 × 61,993,196
  4. Step 4: Simplify right side
    29,469,680x = 3,843,156,350,294,416
  5. Step 5: Solve for x
    x = 3,843,156,350,294,416/29,469,680
  6. Step 6: Final answer
    x = 130,410,521.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.