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Finding the Third Proportional to 6,370,914 and 13,861,566

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Solution

The third proportional to 6,370,914 and 13,861,566 is: 30,159,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370,914 : 13,861,566 = 13,861,566 : x
  2. Step 2: Convert to fraction form
    6,370,914/13,861,566 = 13,861,566/x
  3. Step 3: Cross multiply
    6,370,914x = 13,861,566 × 13,861,566
  4. Step 4: Simplify right side
    6,370,914x = 192,143,011,972,356
  5. Step 5: Solve for x
    x = 192,143,011,972,356/6,370,914
  6. Step 6: Final answer
    x = 30,159,410.72

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Why These Related Problems?

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