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Finding the Third Proportional to 6,633,468 and 14,064,096

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Solution

The third proportional to 6,633,468 and 14,064,096 is: 29,818,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,468 : 14,064,096 = 14,064,096 : x
  2. Step 2: Convert to fraction form
    6,633,468/14,064,096 = 14,064,096/x
  3. Step 3: Cross multiply
    6,633,468x = 14,064,096 × 14,064,096
  4. Step 4: Simplify right side
    6,633,468x = 197,798,796,297,216
  5. Step 5: Solve for x
    x = 197,798,796,297,216/6,633,468
  6. Step 6: Final answer
    x = 29,818,308.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.