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Finding the Third Proportional to 3,102,190 and 6,702,462

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Solution

The third proportional to 3,102,190 and 6,702,462 is: 14,481,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,190 : 6,702,462 = 6,702,462 : x
  2. Step 2: Convert to fraction form
    3,102,190/6,702,462 = 6,702,462/x
  3. Step 3: Cross multiply
    3,102,190x = 6,702,462 × 6,702,462
  4. Step 4: Simplify right side
    3,102,190x = 44,922,996,861,444
  5. Step 5: Solve for x
    x = 44,922,996,861,444/3,102,190
  6. Step 6: Final answer
    x = 14,481,059.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.