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Finding the Third Proportional to 9,691,788 and 15,205,647

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Solution

The third proportional to 9,691,788 and 15,205,647 is: 23,856,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,788 : 15,205,647 = 15,205,647 : x
  2. Step 2: Convert to fraction form
    9,691,788/15,205,647 = 15,205,647/x
  3. Step 3: Cross multiply
    9,691,788x = 15,205,647 × 15,205,647
  4. Step 4: Simplify right side
    9,691,788x = 231,211,700,688,609
  5. Step 5: Solve for x
    x = 231,211,700,688,609/9,691,788
  6. Step 6: Final answer
    x = 23,856,454.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.