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Finding the Third Proportional to 9,594,103 and 15,664,647

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Solution

The third proportional to 9,594,103 and 15,664,647 is: 25,576,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594,103 : 15,664,647 = 15,664,647 : x
  2. Step 2: Convert to fraction form
    9,594,103/15,664,647 = 15,664,647/x
  3. Step 3: Cross multiply
    9,594,103x = 15,664,647 × 15,664,647
  4. Step 4: Simplify right side
    9,594,103x = 245,381,165,634,609
  5. Step 5: Solve for x
    x = 245,381,165,634,609/9,594,103
  6. Step 6: Final answer
    x = 25,576,248.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.