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Finding the Third Proportional to 12,127,918 and 17,740,441

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Solution

The third proportional to 12,127,918 and 17,740,441 is: 25,950,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127,918 : 17,740,441 = 17,740,441 : x
  2. Step 2: Convert to fraction form
    12,127,918/17,740,441 = 17,740,441/x
  3. Step 3: Cross multiply
    12,127,918x = 17,740,441 × 17,740,441
  4. Step 4: Simplify right side
    12,127,918x = 314,723,246,874,481
  5. Step 5: Solve for x
    x = 314,723,246,874,481/12,127,918
  6. Step 6: Final answer
    x = 25,950,311.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.