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Finding the Third Proportional to 6,839,401.50 and 10,673,174.25

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Solution

The third proportional to 6,839,401.50 and 10,673,174.25 is: 16,655,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839,401.50 : 10,673,174.25 = 10,673,174.25 : x
  2. Step 2: Convert to fraction form
    6,839,401.50/10,673,174.25 = 10,673,174.25/x
  3. Step 3: Cross multiply
    6,839,401.50x = 10,673,174.25 × 10,673,174.25
  4. Step 4: Simplify right side
    6,839,401.50x = 113,916,648,570,863.06
  5. Step 5: Solve for x
    x = 113,916,648,570,863.06/6,839,401.50
  6. Step 6: Final answer
    x = 16,655,938.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.