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Finding the Third Proportional to 2,517,265.13 and 5,401,971

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Solution

The third proportional to 2,517,265.13 and 5,401,971 is: 11,592,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,265.13 : 5,401,971 = 5,401,971 : x
  2. Step 2: Convert to fraction form
    2,517,265.13/5,401,971 = 5,401,971/x
  3. Step 3: Cross multiply
    2,517,265.13x = 5,401,971 × 5,401,971
  4. Step 4: Simplify right side
    2,517,265.13x = 29,181,290,684,841
  5. Step 5: Solve for x
    x = 29,181,290,684,841/2,517,265.13
  6. Step 6: Final answer
    x = 11,592,458.18

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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.