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Finding the Third Proportional to 5,785,234 and 12,049,305

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Solution

The third proportional to 5,785,234 and 12,049,305 is: 25,095,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,234 : 12,049,305 = 12,049,305 : x
  2. Step 2: Convert to fraction form
    5,785,234/12,049,305 = 12,049,305/x
  3. Step 3: Cross multiply
    5,785,234x = 12,049,305 × 12,049,305
  4. Step 4: Simplify right side
    5,785,234x = 145,185,750,983,025
  5. Step 5: Solve for x
    x = 145,185,750,983,025/5,785,234
  6. Step 6: Final answer
    x = 25,095,916.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.