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Finding the Third Proportional to 4,552,809,538 and 10,539,097,732

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Solution

The third proportional to 4,552,809,538 and 10,539,097,732 is: 24,396,491,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552,809,538 : 10,539,097,732 = 10,539,097,732 : x
  2. Step 2: Convert to fraction form
    4,552,809,538/10,539,097,732 = 10,539,097,732/x
  3. Step 3: Cross multiply
    4,552,809,538x = 10,539,097,732 × 10,539,097,732
  4. Step 4: Simplify right side
    4,552,809,538x = 111,072,581,004,647,546,880
  5. Step 5: Solve for x
    x = 111,072,581,004,647,546,880/4,552,809,538
  6. Step 6: Final answer
    x = 24,396,491,897.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.