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Finding the Third Proportional to 6,719,546 and 10,376,427

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Solution

The third proportional to 6,719,546 and 10,376,427 is: 16,023,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719,546 : 10,376,427 = 10,376,427 : x
  2. Step 2: Convert to fraction form
    6,719,546/10,376,427 = 10,376,427/x
  3. Step 3: Cross multiply
    6,719,546x = 10,376,427 × 10,376,427
  4. Step 4: Simplify right side
    6,719,546x = 107,670,237,286,329
  5. Step 5: Solve for x
    x = 107,670,237,286,329/6,719,546
  6. Step 6: Final answer
    x = 16,023,439.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.