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Finding the Third Proportional to 9,892,782 and 15,736,815

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Solution

The third proportional to 9,892,782 and 15,736,815 is: 25,033,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892,782 : 15,736,815 = 15,736,815 : x
  2. Step 2: Convert to fraction form
    9,892,782/15,736,815 = 15,736,815/x
  3. Step 3: Cross multiply
    9,892,782x = 15,736,815 × 15,736,815
  4. Step 4: Simplify right side
    9,892,782x = 247,647,346,344,225
  5. Step 5: Solve for x
    x = 247,647,346,344,225/9,892,782
  6. Step 6: Final answer
    x = 25,033,134.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.