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Finding the Third Proportional to 6,370,857 and 13,861,458

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Solution

The third proportional to 6,370,857 and 13,861,458 is: 30,159,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370,857 : 13,861,458 = 13,861,458 : x
  2. Step 2: Convert to fraction form
    6,370,857/13,861,458 = 13,861,458/x
  3. Step 3: Cross multiply
    6,370,857x = 13,861,458 × 13,861,458
  4. Step 4: Simplify right side
    6,370,857x = 192,140,017,885,764
  5. Step 5: Solve for x
    x = 192,140,017,885,764/6,370,857
  6. Step 6: Final answer
    x = 30,159,210.59

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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.