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Finding the Third Proportional to 5,587,576,401 and 12,167,176,006

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Solution

The third proportional to 5,587,576,401 and 12,167,176,006 is: 26,494,523,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587,576,401 : 12,167,176,006 = 12,167,176,006 : x
  2. Step 2: Convert to fraction form
    5,587,576,401/12,167,176,006 = 12,167,176,006/x
  3. Step 3: Cross multiply
    5,587,576,401x = 12,167,176,006 × 12,167,176,006
  4. Step 4: Simplify right side
    5,587,576,401x = 148,040,171,960,982,110,208
  5. Step 5: Solve for x
    x = 148,040,171,960,982,110,208/5,587,576,401
  6. Step 6: Final answer
    x = 26,494,523,087.77

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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.