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Finding the Third Proportional to 12,698,469 and 27,434,493

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Solution

The third proportional to 12,698,469 and 27,434,493 is: 59,271,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698,469 : 27,434,493 = 27,434,493 : x
  2. Step 2: Convert to fraction form
    12,698,469/27,434,493 = 27,434,493/x
  3. Step 3: Cross multiply
    12,698,469x = 27,434,493 × 27,434,493
  4. Step 4: Simplify right side
    12,698,469x = 752,651,406,167,049
  5. Step 5: Solve for x
    x = 752,651,406,167,049/12,698,469
  6. Step 6: Final answer
    x = 59,271,035.44

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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.