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Finding the Third Proportional to 6,738,138 and 14,656,866

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Solution

The third proportional to 6,738,138 and 14,656,866 is: 31,881,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,138 : 14,656,866 = 14,656,866 : x
  2. Step 2: Convert to fraction form
    6,738,138/14,656,866 = 14,656,866/x
  3. Step 3: Cross multiply
    6,738,138x = 14,656,866 × 14,656,866
  4. Step 4: Simplify right side
    6,738,138x = 214,823,720,941,956
  5. Step 5: Solve for x
    x = 214,823,720,941,956/6,738,138
  6. Step 6: Final answer
    x = 31,881,763.32

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