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Finding the Third Proportional to 10,257,165 and 16,241,958

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Solution

The third proportional to 10,257,165 and 16,241,958 is: 25,718,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,165 : 16,241,958 = 16,241,958 : x
  2. Step 2: Convert to fraction form
    10,257,165/16,241,958 = 16,241,958/x
  3. Step 3: Cross multiply
    10,257,165x = 16,241,958 × 16,241,958
  4. Step 4: Simplify right side
    10,257,165x = 263,801,199,673,764
  5. Step 5: Solve for x
    x = 263,801,199,673,764/10,257,165
  6. Step 6: Final answer
    x = 25,718,724.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.