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Finding the Third Proportional to 5,802,436,111 and 8,709,795,627

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Solution

The third proportional to 5,802,436,111 and 8,709,795,627 is: 13,073,912,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802,436,111 : 8,709,795,627 = 8,709,795,627 : x
  2. Step 2: Convert to fraction form
    5,802,436,111/8,709,795,627 = 8,709,795,627/x
  3. Step 3: Cross multiply
    5,802,436,111x = 8,709,795,627 × 8,709,795,627
  4. Step 4: Simplify right side
    5,802,436,111x = 75,860,539,864,108,318,720
  5. Step 5: Solve for x
    x = 75,860,539,864,108,318,720/5,802,436,111
  6. Step 6: Final answer
    x = 13,073,912,131.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.