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Finding the Third Proportional to 6,481,822 and 14,129,972

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Solution

The third proportional to 6,481,822 and 14,129,972 is: 30,802,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,822 : 14,129,972 = 14,129,972 : x
  2. Step 2: Convert to fraction form
    6,481,822/14,129,972 = 14,129,972/x
  3. Step 3: Cross multiply
    6,481,822x = 14,129,972 × 14,129,972
  4. Step 4: Simplify right side
    6,481,822x = 199,656,108,720,784
  5. Step 5: Solve for x
    x = 199,656,108,720,784/6,481,822
  6. Step 6: Final answer
    x = 30,802,467.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.