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Finding the Third Proportional to 6,816,034 and 14,589,548

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Solution

The third proportional to 6,816,034 and 14,589,548 is: 31,228,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,034 : 14,589,548 = 14,589,548 : x
  2. Step 2: Convert to fraction form
    6,816,034/14,589,548 = 14,589,548/x
  3. Step 3: Cross multiply
    6,816,034x = 14,589,548 × 14,589,548
  4. Step 4: Simplify right side
    6,816,034x = 212,854,910,844,304
  5. Step 5: Solve for x
    x = 212,854,910,844,304/6,816,034
  6. Step 6: Final answer
    x = 31,228,557.67

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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.