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Finding the Third Proportional to 9,737,156 and 15,136,734

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Solution

The third proportional to 9,737,156 and 15,136,734 is: 23,530,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737,156 : 15,136,734 = 15,136,734 : x
  2. Step 2: Convert to fraction form
    9,737,156/15,136,734 = 15,136,734/x
  3. Step 3: Cross multiply
    9,737,156x = 15,136,734 × 15,136,734
  4. Step 4: Simplify right side
    9,737,156x = 229,120,716,186,756
  5. Step 5: Solve for x
    x = 229,120,716,186,756/9,737,156
  6. Step 6: Final answer
    x = 23,530,558.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.