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Finding the Third Proportional to 10,189,724 and 16,362,126

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Solution

The third proportional to 10,189,724 and 16,362,126 is: 26,273,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189,724 : 16,362,126 = 16,362,126 : x
  2. Step 2: Convert to fraction form
    10,189,724/16,362,126 = 16,362,126/x
  3. Step 3: Cross multiply
    10,189,724x = 16,362,126 × 16,362,126
  4. Step 4: Simplify right side
    10,189,724x = 267,719,167,239,876
  5. Step 5: Solve for x
    x = 267,719,167,239,876/10,189,724
  6. Step 6: Final answer
    x = 26,273,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.