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Finding the Third Proportional to 12,674,986 and 27,370,489

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Solution

The third proportional to 12,674,986 and 27,370,489 is: 59,104,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,986 : 27,370,489 = 27,370,489 : x
  2. Step 2: Convert to fraction form
    12,674,986/27,370,489 = 27,370,489/x
  3. Step 3: Cross multiply
    12,674,986x = 27,370,489 × 27,370,489
  4. Step 4: Simplify right side
    12,674,986x = 749,143,668,099,121
  5. Step 5: Solve for x
    x = 749,143,668,099,121/12,674,986
  6. Step 6: Final answer
    x = 59,104,102.21

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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.