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Finding the Third Proportional to 12,632,590 and 27,784,028

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Solution

The third proportional to 12,632,590 and 27,784,028 is: 61,107,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632,590 : 27,784,028 = 27,784,028 : x
  2. Step 2: Convert to fraction form
    12,632,590/27,784,028 = 27,784,028/x
  3. Step 3: Cross multiply
    12,632,590x = 27,784,028 × 27,784,028
  4. Step 4: Simplify right side
    12,632,590x = 771,952,211,904,784
  5. Step 5: Solve for x
    x = 771,952,211,904,784/12,632,590
  6. Step 6: Final answer
    x = 61,107,992.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.