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Finding the Third Proportional to 8,385,758 and 17,967,441

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Solution

The third proportional to 8,385,758 and 17,967,441 is: 38,497,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,758 : 17,967,441 = 17,967,441 : x
  2. Step 2: Convert to fraction form
    8,385,758/17,967,441 = 17,967,441/x
  3. Step 3: Cross multiply
    8,385,758x = 17,967,441 × 17,967,441
  4. Step 4: Simplify right side
    8,385,758x = 322,828,936,088,481
  5. Step 5: Solve for x
    x = 322,828,936,088,481/8,385,758
  6. Step 6: Final answer
    x = 38,497,287.44

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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.