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Finding the Third Proportional to 10,277,306,689 and 16,353,215,325

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Solution

The third proportional to 10,277,306,689 and 16,353,215,325 is: 26,021,180,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277,306,689 : 16,353,215,325 = 16,353,215,325 : x
  2. Step 2: Convert to fraction form
    10,277,306,689/16,353,215,325 = 16,353,215,325/x
  3. Step 3: Cross multiply
    10,277,306,689x = 16,353,215,325 × 16,353,215,325
  4. Step 4: Simplify right side
    10,277,306,689x = 267,427,651,465,814,867,968
  5. Step 5: Solve for x
    x = 267,427,651,465,814,867,968/10,277,306,689
  6. Step 6: Final answer
    x = 26,021,180,408.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.