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Finding the Third Proportional to 6,729,031 and 14,760,830

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Solution

The third proportional to 6,729,031 and 14,760,830 is: 32,379,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,031 : 14,760,830 = 14,760,830 : x
  2. Step 2: Convert to fraction form
    6,729,031/14,760,830 = 14,760,830/x
  3. Step 3: Cross multiply
    6,729,031x = 14,760,830 × 14,760,830
  4. Step 4: Simplify right side
    6,729,031x = 217,882,102,288,900
  5. Step 5: Solve for x
    x = 217,882,102,288,900/6,729,031
  6. Step 6: Final answer
    x = 32,379,417.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.