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Finding the Third Proportional to 3,401,181.14 and 7,400,210.63

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Solution

The third proportional to 3,401,181.14 and 7,400,210.63 is: 16,101,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,181.14 : 7,400,210.63 = 7,400,210.63 : x
  2. Step 2: Convert to fraction form
    3,401,181.14/7,400,210.63 = 7,400,210.63/x
  3. Step 3: Cross multiply
    3,401,181.14x = 7,400,210.63 × 7,400,210.63
  4. Step 4: Simplify right side
    3,401,181.14x = 54,763,117,294,362.89
  5. Step 5: Solve for x
    x = 54,763,117,294,362.89/3,401,181.14
  6. Step 6: Final answer
    x = 16,101,205.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.