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Finding the Third Proportional to 14,954,758 and 31,982,062

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Solution

The third proportional to 14,954,758 and 31,982,062 is: 68,396,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954,758 : 31,982,062 = 31,982,062 : x
  2. Step 2: Convert to fraction form
    14,954,758/31,982,062 = 31,982,062/x
  3. Step 3: Cross multiply
    14,954,758x = 31,982,062 × 31,982,062
  4. Step 4: Simplify right side
    14,954,758x = 1,022,852,289,771,844
  5. Step 5: Solve for x
    x = 1,022,852,289,771,844/14,954,758
  6. Step 6: Final answer
    x = 68,396,445.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.