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Finding the Third Proportional to 6,809,408 and 10,117,647

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Solution

The third proportional to 6,809,408 and 10,117,647 is: 15,033,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,408 : 10,117,647 = 10,117,647 : x
  2. Step 2: Convert to fraction form
    6,809,408/10,117,647 = 10,117,647/x
  3. Step 3: Cross multiply
    6,809,408x = 10,117,647 × 10,117,647
  4. Step 4: Simplify right side
    6,809,408x = 102,366,780,816,609
  5. Step 5: Solve for x
    x = 102,366,780,816,609/6,809,408
  6. Step 6: Final answer
    x = 15,033,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.