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Finding the Third Proportional to 6,856,177 and 14,243,793

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Solution

The third proportional to 6,856,177 and 14,243,793 is: 29,591,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,177 : 14,243,793 = 14,243,793 : x
  2. Step 2: Convert to fraction form
    6,856,177/14,243,793 = 14,243,793/x
  3. Step 3: Cross multiply
    6,856,177x = 14,243,793 × 14,243,793
  4. Step 4: Simplify right side
    6,856,177x = 202,885,639,026,849
  5. Step 5: Solve for x
    x = 202,885,639,026,849/6,856,177
  6. Step 6: Final answer
    x = 29,591,657.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.