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Finding the Third Proportional to 6,816,589.50 and 14,590,599

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Solution

The third proportional to 6,816,589.50 and 14,590,599 is: 31,230,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,589.50 : 14,590,599 = 14,590,599 : x
  2. Step 2: Convert to fraction form
    6,816,589.50/14,590,599 = 14,590,599/x
  3. Step 3: Cross multiply
    6,816,589.50x = 14,590,599 × 14,590,599
  4. Step 4: Simplify right side
    6,816,589.50x = 212,885,579,178,801
  5. Step 5: Solve for x
    x = 212,885,579,178,801/6,816,589.50
  6. Step 6: Final answer
    x = 31,230,511.85

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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.