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Finding the Third Proportional to 11,695,467,706 and 25,534,103,503

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Solution

The third proportional to 11,695,467,706 and 25,534,103,503 is: 55,747,273,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695,467,706 : 25,534,103,503 = 25,534,103,503 : x
  2. Step 2: Convert to fraction form
    11,695,467,706/25,534,103,503 = 25,534,103,503/x
  3. Step 3: Cross multiply
    11,695,467,706x = 25,534,103,503 × 25,534,103,503
  4. Step 4: Simplify right side
    11,695,467,706x = 651,990,441,701,916,934,144
  5. Step 5: Solve for x
    x = 651,990,441,701,916,934,144/11,695,467,706
  6. Step 6: Final answer
    x = 55,747,273,909.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.