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Finding the Third Proportional to 6,773,932 and 14,611,448

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Solution

The third proportional to 6,773,932 and 14,611,448 is: 31,517,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773,932 : 14,611,448 = 14,611,448 : x
  2. Step 2: Convert to fraction form
    6,773,932/14,611,448 = 14,611,448/x
  3. Step 3: Cross multiply
    6,773,932x = 14,611,448 × 14,611,448
  4. Step 4: Simplify right side
    6,773,932x = 213,494,412,656,704
  5. Step 5: Solve for x
    x = 213,494,412,656,704/6,773,932
  6. Step 6: Final answer
    x = 31,517,058.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.