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Finding the Third Proportional to 17,732,936 and 38,201,432

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Solution

The third proportional to 17,732,936 and 38,201,432 is: 82,295,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732,936 : 38,201,432 = 38,201,432 : x
  2. Step 2: Convert to fraction form
    17,732,936/38,201,432 = 38,201,432/x
  3. Step 3: Cross multiply
    17,732,936x = 38,201,432 × 38,201,432
  4. Step 4: Simplify right side
    17,732,936x = 1,459,349,406,850,624
  5. Step 5: Solve for x
    x = 1,459,349,406,850,624/17,732,936
  6. Step 6: Final answer
    x = 82,295,983.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.