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Finding the Third Proportional to 17,633,576.81 and 38,209,802.20

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Solution

The third proportional to 17,633,576.81 and 38,209,802.20 is: 82,795,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633,576.81 : 38,209,802.20 = 38,209,802.20 : x
  2. Step 2: Convert to fraction form
    17,633,576.81/38,209,802.20 = 38,209,802.20/x
  3. Step 3: Cross multiply
    17,633,576.81x = 38,209,802.20 × 38,209,802.20
  4. Step 4: Simplify right side
    17,633,576.81x = 1,459,988,984,401,936
  5. Step 5: Solve for x
    x = 1,459,988,984,401,936/17,633,576.81
  6. Step 6: Final answer
    x = 82,795,963.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.