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Finding the Third Proportional to 8,589,743 and 18,409,082

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Solution

The third proportional to 8,589,743 and 18,409,082 is: 39,453,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,743 : 18,409,082 = 18,409,082 : x
  2. Step 2: Convert to fraction form
    8,589,743/18,409,082 = 18,409,082/x
  3. Step 3: Cross multiply
    8,589,743x = 18,409,082 × 18,409,082
  4. Step 4: Simplify right side
    8,589,743x = 338,894,300,082,724
  5. Step 5: Solve for x
    x = 338,894,300,082,724/8,589,743
  6. Step 6: Final answer
    x = 39,453,368.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.