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Finding the Third Proportional to 11,186,540,854 and 24,235,016,611

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Solution

The third proportional to 11,186,540,854 and 24,235,016,611 is: 52,503,811,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186,540,854 : 24,235,016,611 = 24,235,016,611 : x
  2. Step 2: Convert to fraction form
    11,186,540,854/24,235,016,611 = 24,235,016,611/x
  3. Step 3: Cross multiply
    11,186,540,854x = 24,235,016,611 × 24,235,016,611
  4. Step 4: Simplify right side
    11,186,540,854x = 587,336,030,135,445,946,368
  5. Step 5: Solve for x
    x = 587,336,030,135,445,946,368/11,186,540,854
  6. Step 6: Final answer
    x = 52,503,811,303.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.