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Finding the Third Proportional to 3,557,372,013 and 7,727,132,821.50

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Solution

The third proportional to 3,557,372,013 and 7,727,132,821.50 is: 16,784,463,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557,372,013 : 7,727,132,821.50 = 7,727,132,821.50 : x
  2. Step 2: Convert to fraction form
    3,557,372,013/7,727,132,821.50 = 7,727,132,821.50/x
  3. Step 3: Cross multiply
    3,557,372,013x = 7,727,132,821.50 × 7,727,132,821.50
  4. Step 4: Simplify right side
    3,557,372,013x = 59,708,581,641,102,548,992
  5. Step 5: Solve for x
    x = 59,708,581,641,102,548,992/3,557,372,013
  6. Step 6: Final answer
    x = 16,784,463,762.27

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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.