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Finding the Third Proportional to 3,540,576,972 and 7,721,915,784

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Solution

The third proportional to 3,540,576,972 and 7,721,915,784 is: 16,841,318,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540,576,972 : 7,721,915,784 = 7,721,915,784 : x
  2. Step 2: Convert to fraction form
    3,540,576,972/7,721,915,784 = 7,721,915,784/x
  3. Step 3: Cross multiply
    3,540,576,972x = 7,721,915,784 × 7,721,915,784
  4. Step 4: Simplify right side
    3,540,576,972x = 59,627,983,375,188,336,640
  5. Step 5: Solve for x
    x = 59,627,983,375,188,336,640/3,540,576,972
  6. Step 6: Final answer
    x = 16,841,318,193.83

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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.