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Finding the Third Proportional to 12,660,164,508 and 18,611,003,394

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Solution

The third proportional to 12,660,164,508 and 18,611,003,394 is: 27,359,000,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660,164,508 : 18,611,003,394 = 18,611,003,394 : x
  2. Step 2: Convert to fraction form
    12,660,164,508/18,611,003,394 = 18,611,003,394/x
  3. Step 3: Cross multiply
    12,660,164,508x = 18,611,003,394 × 18,611,003,394
  4. Step 4: Simplify right side
    12,660,164,508x = 346,369,447,331,479,552,000
  5. Step 5: Solve for x
    x = 346,369,447,331,479,552,000/12,660,164,508
  6. Step 6: Final answer
    x = 27,359,000,517.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.