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Finding the Third Proportional to 7,297,478 and 11,447,521

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Solution

The third proportional to 7,297,478 and 11,447,521 is: 17,957,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297,478 : 11,447,521 = 11,447,521 : x
  2. Step 2: Convert to fraction form
    7,297,478/11,447,521 = 11,447,521/x
  3. Step 3: Cross multiply
    7,297,478x = 11,447,521 × 11,447,521
  4. Step 4: Simplify right side
    7,297,478x = 131,045,737,045,441
  5. Step 5: Solve for x
    x = 131,045,737,045,441/7,297,478
  6. Step 6: Final answer
    x = 17,957,674.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.