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Finding the Third Proportional to 12,700,914 and 27,040,458

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Solution

The third proportional to 12,700,914 and 27,040,458 is: 57,569,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700,914 : 27,040,458 = 27,040,458 : x
  2. Step 2: Convert to fraction form
    12,700,914/27,040,458 = 27,040,458/x
  3. Step 3: Cross multiply
    12,700,914x = 27,040,458 × 27,040,458
  4. Step 4: Simplify right side
    12,700,914x = 731,186,368,849,764
  5. Step 5: Solve for x
    x = 731,186,368,849,764/12,700,914
  6. Step 6: Final answer
    x = 57,569,586.63

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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.