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Finding the Third Proportional to 5,740,276 and 12,393,696

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Solution

The third proportional to 5,740,276 and 12,393,696 is: 26,758,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,276 : 12,393,696 = 12,393,696 : x
  2. Step 2: Convert to fraction form
    5,740,276/12,393,696 = 12,393,696/x
  3. Step 3: Cross multiply
    5,740,276x = 12,393,696 × 12,393,696
  4. Step 4: Simplify right side
    5,740,276x = 153,603,700,540,416
  5. Step 5: Solve for x
    x = 153,603,700,540,416/5,740,276
  6. Step 6: Final answer
    x = 26,758,939.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.