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Finding the Third Proportional to 6,755,736 and 14,561,226

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Solution

The third proportional to 6,755,736 and 14,561,226 is: 31,385,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755,736 : 14,561,226 = 14,561,226 : x
  2. Step 2: Convert to fraction form
    6,755,736/14,561,226 = 14,561,226/x
  3. Step 3: Cross multiply
    6,755,736x = 14,561,226 × 14,561,226
  4. Step 4: Simplify right side
    6,755,736x = 212,029,302,623,076
  5. Step 5: Solve for x
    x = 212,029,302,623,076/6,755,736
  6. Step 6: Final answer
    x = 31,385,078.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.