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Finding the Third Proportional to 23,440,716 and 48,677,976

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Solution

The third proportional to 23,440,716 and 48,677,976 is: 101,086,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440,716 : 48,677,976 = 48,677,976 : x
  2. Step 2: Convert to fraction form
    23,440,716/48,677,976 = 48,677,976/x
  3. Step 3: Cross multiply
    23,440,716x = 48,677,976 × 48,677,976
  4. Step 4: Simplify right side
    23,440,716x = 2,369,545,347,456,576
  5. Step 5: Solve for x
    x = 2,369,545,347,456,576/23,440,716
  6. Step 6: Final answer
    x = 101,086,730.77

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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.