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Finding the Third Proportional to 6,816,593 and 14,590,606

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Solution

The third proportional to 6,816,593 and 14,590,606 is: 31,230,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,593 : 14,590,606 = 14,590,606 : x
  2. Step 2: Convert to fraction form
    6,816,593/14,590,606 = 14,590,606/x
  3. Step 3: Cross multiply
    6,816,593x = 14,590,606 × 14,590,606
  4. Step 4: Simplify right side
    6,816,593x = 212,885,783,447,236
  5. Step 5: Solve for x
    x = 212,885,783,447,236/6,816,593
  6. Step 6: Final answer
    x = 31,230,525.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.