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Finding the Third Proportional to 12,814,200 and 27,256,176

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Solution

The third proportional to 12,814,200 and 27,256,176 is: 57,974,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814,200 : 27,256,176 = 27,256,176 : x
  2. Step 2: Convert to fraction form
    12,814,200/27,256,176 = 27,256,176/x
  3. Step 3: Cross multiply
    12,814,200x = 27,256,176 × 27,256,176
  4. Step 4: Simplify right side
    12,814,200x = 742,899,130,142,976
  5. Step 5: Solve for x
    x = 742,899,130,142,976/12,814,200
  6. Step 6: Final answer
    x = 57,974,678.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.