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Finding the Third Proportional to 6,816,591 and 14,590,602

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Solution

The third proportional to 6,816,591 and 14,590,602 is: 31,230,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,591 : 14,590,602 = 14,590,602 : x
  2. Step 2: Convert to fraction form
    6,816,591/14,590,602 = 14,590,602/x
  3. Step 3: Cross multiply
    6,816,591x = 14,590,602 × 14,590,602
  4. Step 4: Simplify right side
    6,816,591x = 212,885,666,722,404
  5. Step 5: Solve for x
    x = 212,885,666,722,404/6,816,591
  6. Step 6: Final answer
    x = 31,230,517.82

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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.