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Finding the Third Proportional to 3,540,576,969 and 7,721,915,769

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Solution

The third proportional to 3,540,576,969 and 7,721,915,769 is: 16,841,318,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540,576,969 : 7,721,915,769 = 7,721,915,769 : x
  2. Step 2: Convert to fraction form
    3,540,576,969/7,721,915,769 = 7,721,915,769/x
  3. Step 3: Cross multiply
    3,540,576,969x = 7,721,915,769 × 7,721,915,769
  4. Step 4: Simplify right side
    3,540,576,969x = 59,627,983,143,530,864,640
  5. Step 5: Solve for x
    x = 59,627,983,143,530,864,640/3,540,576,969
  6. Step 6: Final answer
    x = 16,841,318,142.67

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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.