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Finding the Third Proportional to 6,729,969 and 14,677,974

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Solution

The third proportional to 6,729,969 and 14,677,974 is: 32,012,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,969 : 14,677,974 = 14,677,974 : x
  2. Step 2: Convert to fraction form
    6,729,969/14,677,974 = 14,677,974/x
  3. Step 3: Cross multiply
    6,729,969x = 14,677,974 × 14,677,974
  4. Step 4: Simplify right side
    6,729,969x = 215,442,920,744,676
  5. Step 5: Solve for x
    x = 215,442,920,744,676/6,729,969
  6. Step 6: Final answer
    x = 32,012,468.52

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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.