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Finding the Third Proportional to 6,729,566 and 14,594,932

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Solution

The third proportional to 6,729,566 and 14,594,932 is: 31,653,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,566 : 14,594,932 = 14,594,932 : x
  2. Step 2: Convert to fraction form
    6,729,566/14,594,932 = 14,594,932/x
  3. Step 3: Cross multiply
    6,729,566x = 14,594,932 × 14,594,932
  4. Step 4: Simplify right side
    6,729,566x = 213,012,040,084,624
  5. Step 5: Solve for x
    x = 213,012,040,084,624/6,729,566
  6. Step 6: Final answer
    x = 31,653,161.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.