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Finding the Third Proportional to 5,451,683,800 and 11,858,559,014

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Solution

The third proportional to 5,451,683,800 and 11,858,559,014 is: 25,794,860,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,683,800 : 11,858,559,014 = 11,858,559,014 : x
  2. Step 2: Convert to fraction form
    5,451,683,800/11,858,559,014 = 11,858,559,014/x
  3. Step 3: Cross multiply
    5,451,683,800x = 11,858,559,014 × 11,858,559,014
  4. Step 4: Simplify right side
    5,451,683,800x = 140,625,421,888,520,650,752
  5. Step 5: Solve for x
    x = 140,625,421,888,520,650,752/5,451,683,800
  6. Step 6: Final answer
    x = 25,794,860,275.74

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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.