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Finding the Third Proportional to 3,897,450 and 8,503,164

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Solution

The third proportional to 3,897,450 and 8,503,164 is: 18,551,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,450 : 8,503,164 = 8,503,164 : x
  2. Step 2: Convert to fraction form
    3,897,450/8,503,164 = 8,503,164/x
  3. Step 3: Cross multiply
    3,897,450x = 8,503,164 × 8,503,164
  4. Step 4: Simplify right side
    3,897,450x = 72,303,798,010,896
  5. Step 5: Solve for x
    x = 72,303,798,010,896/3,897,450
  6. Step 6: Final answer
    x = 18,551,565.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.