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Finding the Third Proportional to 6,729,867 and 14,677,792

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Solution

The third proportional to 6,729,867 and 14,677,792 is: 32,012,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,867 : 14,677,792 = 14,677,792 : x
  2. Step 2: Convert to fraction form
    6,729,867/14,677,792 = 14,677,792/x
  3. Step 3: Cross multiply
    6,729,867x = 14,677,792 × 14,677,792
  4. Step 4: Simplify right side
    6,729,867x = 215,437,577,995,264
  5. Step 5: Solve for x
    x = 215,437,577,995,264/6,729,867
  6. Step 6: Final answer
    x = 32,012,159.82

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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.