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Finding the Third Proportional to 6,576,989 and 14,349,175

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Solution

The third proportional to 6,576,989 and 14,349,175 is: 31,305,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,989 : 14,349,175 = 14,349,175 : x
  2. Step 2: Convert to fraction form
    6,576,989/14,349,175 = 14,349,175/x
  3. Step 3: Cross multiply
    6,576,989x = 14,349,175 × 14,349,175
  4. Step 4: Simplify right side
    6,576,989x = 205,898,823,180,625
  5. Step 5: Solve for x
    x = 205,898,823,180,625/6,576,989
  6. Step 6: Final answer
    x = 31,305,940.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.