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Finding the Third Proportional to 7,827,794 and 12,583,137

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Solution

The third proportional to 7,827,794 and 12,583,137 is: 20,227,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,794 : 12,583,137 = 12,583,137 : x
  2. Step 2: Convert to fraction form
    7,827,794/12,583,137 = 12,583,137/x
  3. Step 3: Cross multiply
    7,827,794x = 12,583,137 × 12,583,137
  4. Step 4: Simplify right side
    7,827,794x = 158,335,336,760,769
  5. Step 5: Solve for x
    x = 158,335,336,760,769/7,827,794
  6. Step 6: Final answer
    x = 20,227,325.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.