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Finding the Third Proportional to 5,677,611,666 and 12,425,538,942

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Solution

The third proportional to 5,677,611,666 and 12,425,538,942 is: 27,193,479,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,611,666 : 12,425,538,942 = 12,425,538,942 : x
  2. Step 2: Convert to fraction form
    5,677,611,666/12,425,538,942 = 12,425,538,942/x
  3. Step 3: Cross multiply
    5,677,611,666x = 12,425,538,942 × 12,425,538,942
  4. Step 4: Simplify right side
    5,677,611,666x = 154,394,017,999,158,476,800
  5. Step 5: Solve for x
    x = 154,394,017,999,158,476,800/5,677,611,666
  6. Step 6: Final answer
    x = 27,193,479,773.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.