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Finding the Third Proportional to 12,632,569 and 27,783,985

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Solution

The third proportional to 12,632,569 and 27,783,985 is: 61,107,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632,569 : 27,783,985 = 27,783,985 : x
  2. Step 2: Convert to fraction form
    12,632,569/27,783,985 = 27,783,985/x
  3. Step 3: Cross multiply
    12,632,569x = 27,783,985 × 27,783,985
  4. Step 4: Simplify right side
    12,632,569x = 771,949,822,480,225
  5. Step 5: Solve for x
    x = 771,949,822,480,225/12,632,569
  6. Step 6: Final answer
    x = 61,107,904.69

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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.