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Finding the Third Proportional to 6,731,472 and 14,809,164

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Solution

The third proportional to 6,731,472 and 14,809,164 is: 32,579,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731,472 : 14,809,164 = 14,809,164 : x
  2. Step 2: Convert to fraction form
    6,731,472/14,809,164 = 14,809,164/x
  3. Step 3: Cross multiply
    6,731,472x = 14,809,164 × 14,809,164
  4. Step 4: Simplify right side
    6,731,472x = 219,311,338,378,896
  5. Step 5: Solve for x
    x = 219,311,338,378,896/6,731,472
  6. Step 6: Final answer
    x = 32,579,997.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.