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Finding the Third Proportional to 14,738,728 and 31,716,944

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Solution

The third proportional to 14,738,728 and 31,716,944 is: 68,253,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738,728 : 31,716,944 = 31,716,944 : x
  2. Step 2: Convert to fraction form
    14,738,728/31,716,944 = 31,716,944/x
  3. Step 3: Cross multiply
    14,738,728x = 31,716,944 × 31,716,944
  4. Step 4: Simplify right side
    14,738,728x = 1,005,964,536,699,136
  5. Step 5: Solve for x
    x = 1,005,964,536,699,136/14,738,728
  6. Step 6: Final answer
    x = 68,253,144.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.