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Finding the Third Proportional to 12,268,674 and 25,806,534

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Solution

The third proportional to 12,268,674 and 25,806,534 is: 54,282,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268,674 : 25,806,534 = 25,806,534 : x
  2. Step 2: Convert to fraction form
    12,268,674/25,806,534 = 25,806,534/x
  3. Step 3: Cross multiply
    12,268,674x = 25,806,534 × 25,806,534
  4. Step 4: Simplify right side
    12,268,674x = 665,977,197,093,156
  5. Step 5: Solve for x
    x = 665,977,197,093,156/12,268,674
  6. Step 6: Final answer
    x = 54,282,736.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.