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Finding the Third Proportional to 48,166,722 and 68,662,485

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Solution

The third proportional to 48,166,722 and 68,662,485 is: 97,879,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,166,722 : 68,662,485 = 68,662,485 : x
  2. Step 2: Convert to fraction form
    48,166,722/68,662,485 = 68,662,485/x
  3. Step 3: Cross multiply
    48,166,722x = 68,662,485 × 68,662,485
  4. Step 4: Simplify right side
    48,166,722x = 4,714,536,846,375,225
  5. Step 5: Solve for x
    x = 4,714,536,846,375,225/48,166,722
  6. Step 6: Final answer
    x = 97,879,545.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.