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Finding the Third Proportional to 3,302,690,304,650 and 6,699,552,731,162

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Solution

The third proportional to 3,302,690,304,650 and 6,699,552,731,162 is: 13,590,134,907,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,690,304,650 : 6,699,552,731,162 = 6,699,552,731,162 : x
  2. Step 2: Convert to fraction form
    3,302,690,304,650/6,699,552,731,162 = 6,699,552,731,162/x
  3. Step 3: Cross multiply
    3,302,690,304,650x = 6,699,552,731,162 × 6,699,552,731,162
  4. Step 4: Simplify right side
    3,302,690,304,650x = 44,884,006,797,620,213,295,611,904
  5. Step 5: Solve for x
    x = 44,884,006,797,620,213,295,611,904/3,302,690,304,650
  6. Step 6: Final answer
    x = 13,590,134,907,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.