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Finding the Third Proportional to 5,758,228 and 12,601,216

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Solution

The third proportional to 5,758,228 and 12,601,216 is: 27,576,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,228 : 12,601,216 = 12,601,216 : x
  2. Step 2: Convert to fraction form
    5,758,228/12,601,216 = 12,601,216/x
  3. Step 3: Cross multiply
    5,758,228x = 12,601,216 × 12,601,216
  4. Step 4: Simplify right side
    5,758,228x = 158,790,644,678,656
  5. Step 5: Solve for x
    x = 158,790,644,678,656/5,758,228
  6. Step 6: Final answer
    x = 27,576,303.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.