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Finding the Third Proportional to 12,716,000 and 27,250,144

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Solution

The third proportional to 12,716,000 and 27,250,144 is: 58,396,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716,000 : 27,250,144 = 27,250,144 : x
  2. Step 2: Convert to fraction form
    12,716,000/27,250,144 = 27,250,144/x
  3. Step 3: Cross multiply
    12,716,000x = 27,250,144 × 27,250,144
  4. Step 4: Simplify right side
    12,716,000x = 742,570,348,020,736
  5. Step 5: Solve for x
    x = 742,570,348,020,736/12,716,000
  6. Step 6: Final answer
    x = 58,396,535.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.