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Finding the Third Proportional to 17,732,988 and 38,201,536

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Solution

The third proportional to 17,732,988 and 38,201,536 is: 82,296,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732,988 : 38,201,536 = 38,201,536 : x
  2. Step 2: Convert to fraction form
    17,732,988/38,201,536 = 38,201,536/x
  3. Step 3: Cross multiply
    17,732,988x = 38,201,536 × 38,201,536
  4. Step 4: Simplify right side
    17,732,988x = 1,459,357,352,759,296
  5. Step 5: Solve for x
    x = 1,459,357,352,759,296/17,732,988
  6. Step 6: Final answer
    x = 82,296,190.17

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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.