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Finding the Third Proportional to 12,469,376 and 26,832,640

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Solution

The third proportional to 12,469,376 and 26,832,640 is: 57,740,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469,376 : 26,832,640 = 26,832,640 : x
  2. Step 2: Convert to fraction form
    12,469,376/26,832,640 = 26,832,640/x
  3. Step 3: Cross multiply
    12,469,376x = 26,832,640 × 26,832,640
  4. Step 4: Simplify right side
    12,469,376x = 719,990,569,369,600
  5. Step 5: Solve for x
    x = 719,990,569,369,600/12,469,376
  6. Step 6: Final answer
    x = 57,740,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.